Atkin-Lehner |
2- 3- 5- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
118950bz |
Isogeny class |
Conductor |
118950 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
588602664000 = 26 · 32 · 53 · 133 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2873,46137] |
[a1,a2,a3,a4,a6] |
Generators |
[52:169:1] |
Generators of the group modulo torsion |
j |
20981185563941/4708821312 |
j-invariant |
L |
14.365045951582 |
L(r)(E,1)/r! |
Ω |
0.86514722861873 |
Real period |
R |
0.4612267619765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999830053 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118950n1 |
Quadratic twists by: 5 |