Atkin-Lehner |
2+ 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
14800a |
Isogeny class |
Conductor |
14800 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
1445312500000000 = 28 · 516 · 37 |
Discriminant |
Eigenvalues |
2+ 1 5+ -1 3 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-41633,2696363] |
[a1,a2,a3,a4,a6] |
Generators |
[-3174:66025:27] |
Generators of the group modulo torsion |
j |
1995203838976/361328125 |
j-invariant |
L |
5.6778044707733 |
L(r)(E,1)/r! |
Ω |
0.45577610737627 |
Real period |
R |
6.2287210528194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7400e1 59200cw1 2960b1 |
Quadratic twists by: -4 8 5 |