Atkin-Lehner |
29+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
107909a |
Isogeny class |
Conductor |
107909 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4017600 |
Modular degree for the optimal curve |
Δ |
-4675549656690686309 = -1 · 293 · 618 |
Discriminant |
Eigenvalues |
1 1 3 -4 -1 1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9466302,-11211607167] |
[a1,a2,a3,a4,a6] |
Generators |
[118425249054140154295528321336217851602893709940654320727887607052396505:40617731233828910675385072109847419069355108736805134798622406794958841678:1003088340691441529277721541422598917493626239837871798846829081125] |
Generators of the group modulo torsion |
j |
-1820898350896897/90751469 |
j-invariant |
L |
9.3729505206578 |
L(r)(E,1)/r! |
Ω |
0.043035135725402 |
Real period |
R |
108.8988144532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1769a1 |
Quadratic twists by: 61 |