Atkin-Lehner |
2- 5- 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
30740d |
Isogeny class |
Conductor |
30740 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
97440 |
Modular degree for the optimal curve |
Δ |
-1391476348160 = -1 · 28 · 5 · 295 · 53 |
Discriminant |
Eigenvalues |
2- -3 5- -5 3 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2513,29494] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1682:1] [319:5770:1] |
Generators of the group modulo torsion |
j |
6855848509104/5435454485 |
j-invariant |
L |
5.0499397306234 |
L(r)(E,1)/r! |
Ω |
0.54979314841183 |
Real period |
R |
0.61234420559919 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122960s1 |
Quadratic twists by: -4 |