Atkin-Lehner |
2- 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770cd |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
176 |
Product of Tamagawa factors cp |
deg |
28385280 |
Modular degree for the optimal curve |
Δ |
1.4325373254417E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295677080,716468940377] |
[a1,a2,a3,a4,a6] |
Generators |
[-18043:-412739:1] |
Generators of the group modulo torsion |
j |
592265697637387401314569/296787655248366796800 |
j-invariant |
L |
9.0415762745805 |
L(r)(E,1)/r! |
Ω |
0.042424366673837 |
Real period |
R |
4.8436873897732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290b1 |
Quadratic twists by: 13 |