Atkin-Lehner |
2- 3- 11- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
95238cr |
Isogeny class |
Conductor |
95238 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
292864 |
Modular degree for the optimal curve |
Δ |
-94698255015936 = -1 · 213 · 310 · 11 · 13 · 372 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11- 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,10723,188453] |
[a1,a2,a3,a4,a6] |
Generators |
[87:-1376:1] |
Generators of the group modulo torsion |
j |
187060922218871/129901584384 |
j-invariant |
L |
12.057540628947 |
L(r)(E,1)/r! |
Ω |
0.37991967909874 |
Real period |
R |
0.61032842983518 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31746p1 |
Quadratic twists by: -3 |