Atkin-Lehner |
2- 5+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
39950r |
Isogeny class |
Conductor |
39950 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
4341126800000000 = 210 · 58 · 173 · 472 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-51438,-3184508] |
[a1,a2,a3,a4,a6] |
Generators |
[-168:934:1] |
Generators of the group modulo torsion |
j |
963288634285081/277832115200 |
j-invariant |
L |
7.7277249221072 |
L(r)(E,1)/r! |
Ω |
0.32399413413844 |
Real period |
R |
0.7950478221525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999982 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7990b1 |
Quadratic twists by: 5 |