Atkin-Lehner |
2+ 7- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
129514f |
Isogeny class |
Conductor |
129514 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1075200 |
Modular degree for the optimal curve |
Δ |
-433877720860638208 = -1 · 210 · 7 · 112 · 298 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11- -2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4468,-31692336] |
[a1,a2,a3,a4,a6] |
Generators |
[40834680:1106939796:50653] |
Generators of the group modulo torsion |
j |
16581375/729422848 |
j-invariant |
L |
4.0404630229764 |
L(r)(E,1)/r! |
Ω |
0.13714805784208 |
Real period |
R |
7.3651479458767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000190548 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4466c1 |
Quadratic twists by: 29 |