Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
31200bj |
Isogeny class |
Conductor |
31200 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-356441280000000 = -1 · 212 · 3 · 57 · 135 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 1 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13533,1096437] |
[a1,a2,a3,a4,a6] |
Generators |
[-73:1300:1] |
Generators of the group modulo torsion |
j |
-4283098624/5569395 |
j-invariant |
L |
5.347990103015 |
L(r)(E,1)/r! |
Ω |
0.48583603524531 |
Real period |
R |
0.55039043165197 |
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 |
31200s1 62400cd1 93600bi1 6240j1 |
Quadratic twists by: -4 8 -3 5 |