Atkin-Lehner |
2- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
20350t |
Isogeny class |
Conductor |
20350 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
36720 |
Modular degree for the optimal curve |
Δ |
-2822128883200 = -1 · 29 · 52 · 115 · 372 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11- 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10,-80823] |
[a1,a2,a3,a4,a6] |
Generators |
[63:375:1] |
Generators of the group modulo torsion |
j |
-4021785/112885155328 |
j-invariant |
L |
6.5242318191448 |
L(r)(E,1)/r! |
Ω |
0.36915594567643 |
Real period |
R |
0.19637084410041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20350p1 |
Quadratic twists by: 5 |