Atkin-Lehner |
2- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650ca |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
120960 |
Modular degree for the optimal curve |
Δ |
70820312500 = 22 · 510 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-13763,-622483] |
[a1,a2,a3,a4,a6] |
Generators |
[2146534:1110816735:8] |
Generators of the group modulo torsion |
j |
602516425/148 |
j-invariant |
L |
12.241915775484 |
L(r)(E,1)/r! |
Ω |
0.440785718175 |
Real period |
R |
13.886470529775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650bl1 90650bs1 |
Quadratic twists by: 5 -7 |