Atkin-Lehner |
2- 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610bv |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3564288 |
Modular degree for the optimal curve |
Δ |
-4.9153001715181E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 -3 13+ 2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1281446,-652855507] |
[a1,a2,a3,a4,a6] |
Generators |
[186640518:12358649041:39304] |
Generators of the group modulo torsion |
j |
-285284281827649/60256406250 |
j-invariant |
L |
7.5897197679712 |
L(r)(E,1)/r! |
Ω |
0.070154684876995 |
Real period |
R |
9.0154584604085 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116610s1 |
Quadratic twists by: 13 |