Atkin-Lehner |
2- 3- 19+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
113544i |
Isogeny class |
Conductor |
113544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
377856 |
Modular degree for the optimal curve |
Δ |
-168280372267776 = -1 · 28 · 36 · 19 · 834 |
Discriminant |
Eigenvalues |
2- 3- -3 -3 -5 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9084,707524] |
[a1,a2,a3,a4,a6] |
Generators |
[17:747:1] [80:702:1] |
Generators of the group modulo torsion |
j |
-444209247232/901708099 |
j-invariant |
L |
7.8766279776217 |
L(r)(E,1)/r! |
Ω |
0.50989250733228 |
Real period |
R |
0.9654765298657 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12616b1 |
Quadratic twists by: -3 |