Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200cu |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4112640 |
Modular degree for the optimal curve |
Δ |
4.11848913042E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 -2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4501875,-1995831250] |
[a1,a2,a3,a4,a6] |
Generators |
[-42451736189023642:992794576874181192:27617549307083] |
Generators of the group modulo torsion |
j |
2450 |
j-invariant |
L |
5.8600055520831 |
L(r)(E,1)/r! |
Ω |
0.10741422052639 |
Real period |
R |
27.277605904347 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9800bj1 88200io1 88200bm1 |
Quadratic twists by: -3 5 -7 |