Atkin-Lehner |
2- 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
116550ft |
Isogeny class |
Conductor |
116550 |
Conductor |
∏ cp |
2184 |
Product of Tamagawa factors cp |
deg |
5870592 |
Modular degree for the optimal curve |
Δ |
-1.1361900499794E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 -7 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,553495,487597097] |
[a1,a2,a3,a4,a6] |
Generators |
[99:-23360:1] [519:-30500:1] |
Generators of the group modulo torsion |
j |
41158354945175975/249369558294528 |
j-invariant |
L |
17.537147376543 |
L(r)(E,1)/r! |
Ω |
0.13549933354611 |
Real period |
R |
0.059261024966819 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999957667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38850bq1 116550be1 |
Quadratic twists by: -3 5 |