Atkin-Lehner |
2- 3- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
117978u |
Isogeny class |
Conductor |
117978 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
3421440 |
Modular degree for the optimal curve |
Δ |
-2.8602859312197E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ -1 -4 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2163916,1251753104] |
[a1,a2,a3,a4,a6] |
Generators |
[-1000:49652:1] |
Generators of the group modulo torsion |
j |
-398926769189077614601/10182577184833536 |
j-invariant |
L |
10.619078643035 |
L(r)(E,1)/r! |
Ω |
0.20957392055372 |
Real period |
R |
0.42224872893487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051257 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117978a1 |
Quadratic twists by: 53 |