Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90576z |
Isogeny class |
Conductor |
90576 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-13016871154944 = -1 · 28 · 310 · 17 · 373 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 -1 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3777,148826] |
[a1,a2,a3,a4,a6] |
Generators |
[46:648:1] |
Generators of the group modulo torsion |
j |
31929871664/69749181 |
j-invariant |
L |
4.8973210604518 |
L(r)(E,1)/r! |
Ω |
0.49212123482202 |
Real period |
R |
2.4878631035405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020668 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22644a1 30192o1 |
Quadratic twists by: -4 -3 |