Atkin-Lehner |
5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37975j |
Isogeny class |
Conductor |
37975 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-17102993591796875 = -1 · 59 · 710 · 31 |
Discriminant |
Eigenvalues |
0 -3 5+ 7- 4 -2 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2450,6291906] |
[a1,a2,a3,a4,a6] |
Generators |
[140:3062:1] |
Generators of the group modulo torsion |
j |
884736/9303875 |
j-invariant |
L |
2.5483500110358 |
L(r)(E,1)/r! |
Ω |
0.30731348956094 |
Real period |
R |
1.0365433415717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7595k1 5425c1 |
Quadratic twists by: 5 -7 |