Atkin-Lehner |
2+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650z |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-134162000 = -1 · 24 · 53 · 72 · 372 |
Discriminant |
Eigenvalues |
2+ 1 5- 7- 2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,44,-542] |
[a1,a2,a3,a4,a6] |
Generators |
[8:14:1] |
Generators of the group modulo torsion |
j |
1588867/21904 |
j-invariant |
L |
6.2430085389611 |
L(r)(E,1)/r! |
Ω |
0.90430742057024 |
Real period |
R |
0.86295440005006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973233 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650dh1 90650p1 |
Quadratic twists by: 5 -7 |