Atkin-Lehner |
2+ 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
88200di |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-612475123680000 = -1 · 28 · 313 · 54 · 74 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 -7 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47775,-4191950] |
[a1,a2,a3,a4,a6] |
Generators |
[266:1386:1] |
Generators of the group modulo torsion |
j |
-43061200/2187 |
j-invariant |
L |
6.9137907989307 |
L(r)(E,1)/r! |
Ω |
0.16098542736444 |
Real period |
R |
3.5788906040123 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400ek1 88200fw1 88200eh1 |
Quadratic twists by: -3 5 -7 |