Atkin-Lehner |
3+ 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405d |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-31908173535 = -1 · 33 · 5 · 78 · 41 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 4 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,285,-8464] |
[a1,a2,a3,a4,a6] |
Generators |
[1632:12044:27] |
Generators of the group modulo torsion |
j |
804357/10045 |
j-invariant |
L |
7.4683453003924 |
L(r)(E,1)/r! |
Ω |
0.57444745434538 |
Real period |
R |
6.5004599204228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915247 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90405f1 12915b1 |
Quadratic twists by: -3 -7 |