Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200b |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
177408 |
Modular degree for the optimal curve |
Δ |
-3984630451200 = -1 · 210 · 33 · 52 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 2 5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15435,744310] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:1176:1] |
Generators of the group modulo torsion |
j |
-102060 |
j-invariant |
L |
7.8465823758988 |
L(r)(E,1)/r! |
Ω |
0.7862600288527 |
Real period |
R |
0.83163564264803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004204 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88200ej1 88200fd1 88200i1 |
Quadratic twists by: -3 5 -7 |