Atkin-Lehner |
2+ 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
51350l |
Isogeny class |
Conductor |
51350 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-16046875000 = -1 · 23 · 59 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 3 13+ -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2117,-37459] |
[a1,a2,a3,a4,a6] |
Generators |
[919:27353:1] |
Generators of the group modulo torsion |
j |
-537367797/8216 |
j-invariant |
L |
3.1202985177701 |
L(r)(E,1)/r! |
Ω |
0.35158887510533 |
Real period |
R |
4.4374249851169 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51350z1 |
Quadratic twists by: 5 |