Atkin-Lehner |
2- 5+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650bt |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-4207320320000000 = -1 · 214 · 57 · 74 · 372 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -4 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-139063,20144781] |
[a1,a2,a3,a4,a6] |
Generators |
[-421:2282:1] [195:602:1] |
Generators of the group modulo torsion |
j |
-7927687158601/112148480 |
j-invariant |
L |
13.165680429568 |
L(r)(E,1)/r! |
Ω |
0.43939634039787 |
Real period |
R |
0.089175919561752 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18130f1 90650cb1 |
Quadratic twists by: 5 -7 |