Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51520o |
Isogeny class |
Conductor |
51520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-626843840 = -1 · 26 · 5 · 7 · 234 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- -3 -5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-511,-4781] |
[a1,a2,a3,a4,a6] |
Generators |
[162:2047:1] |
Generators of the group modulo torsion |
j |
-231023443456/9794435 |
j-invariant |
L |
5.6401221765958 |
L(r)(E,1)/r! |
Ω |
0.50074578407599 |
Real period |
R |
2.8158610396456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51520e1 25760e1 |
Quadratic twists by: -4 8 |