Atkin-Lehner |
3- 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
90405bh |
Isogeny class |
Conductor |
90405 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
43614484700653125 = 310 · 55 · 78 · 41 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 0 -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-90552,3006652] |
[a1,a2,a3,a4,a6] |
Generators |
[-2254:19841:8] [-278:2587:1] |
Generators of the group modulo torsion |
j |
19539165184/10378125 |
j-invariant |
L |
9.9865136871279 |
L(r)(E,1)/r! |
Ω |
0.31589309708412 |
Real period |
R |
0.52689310504843 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999667 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30135a1 90405l1 |
Quadratic twists by: -3 -7 |