Atkin-Lehner |
2+ 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
57498m |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
5114880 |
Modular degree for the optimal curve |
Δ |
-1.0141397390066E+23 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8242720,12320876846] |
[a1,a2,a3,a4,a6] |
j |
476562552731/780337152 |
j-invariant |
L |
2.9027941191954 |
L(r)(E,1)/r! |
Ω |
0.072569852959839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57498w1 |
Quadratic twists by: 37 |