Atkin-Lehner |
2+ 3- 5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240w |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
33423360 |
Modular degree for the optimal curve |
Δ |
71814126017970000 = 24 · 310 · 54 · 74 · 373 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7692924522,-259707995802439] |
[a1,a2,a3,a4,a6] |
Generators |
[851906:90734175:8] |
Generators of the group modulo torsion |
j |
4316687557358069726714954758144/6156903808125 |
j-invariant |
L |
8.7866393626666 |
L(r)(E,1)/r! |
Ω |
0.016120432402496 |
Real period |
R |
5.6777319074903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999942002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080v1 |
Quadratic twists by: -3 |