Atkin-Lehner |
3- 5+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
90405t |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
270252695278125 = 316 · 55 · 72 · 41 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 4 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-24843,1282923] |
[a1,a2,a3,a4,a6] |
Generators |
[99208:990455:512] |
Generators of the group modulo torsion |
j |
47469233803264/7565653125 |
j-invariant |
L |
11.97246633111 |
L(r)(E,1)/r! |
Ω |
0.52679382532478 |
Real period |
R |
5.6817609421229 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30135bh1 90405bj1 |
Quadratic twists by: -3 -7 |