Atkin-Lehner |
2+ 3- 5+ 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
72150bd |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
517570560 |
Modular degree for the optimal curve |
Δ |
1.4083433562656E+33 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-55278111876,-4665183479903102] |
[a1,a2,a3,a4,a6] |
Generators |
[-160774:8227467:1] |
Generators of the group modulo torsion |
j |
1195537732857497186210936499044401/90133974801000000000000000000 |
j-invariant |
L |
7.0869440877222 |
L(r)(E,1)/r! |
Ω |
0.0098929748662438 |
Real period |
R |
8.9545159347478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14430bd1 |
Quadratic twists by: 5 |