Atkin-Lehner |
3+ 5- 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20235i |
Isogeny class |
Conductor |
20235 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
17760 |
Modular degree for the optimal curve |
Δ |
-591691635 = -1 · 35 · 5 · 193 · 71 |
Discriminant |
Eigenvalues |
2 3+ 5- -5 1 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-380,-2959] |
[a1,a2,a3,a4,a6] |
Generators |
[1386:18065:8] |
Generators of the group modulo torsion |
j |
-6084387721216/591691635 |
j-invariant |
L |
7.4831590917261 |
L(r)(E,1)/r! |
Ω |
0.53757292619392 |
Real period |
R |
4.6400892648543 |
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 |
60705f1 101175p1 |
Quadratic twists by: -3 5 |