Atkin-Lehner |
2- 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
33390br |
Isogeny class |
Conductor |
33390 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
19906560 |
Modular degree for the optimal curve |
Δ |
3.1928835546594E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1195811402,15916576912521] |
[a1,a2,a3,a4,a6] |
Generators |
[158369:61553031:1] |
Generators of the group modulo torsion |
j |
259408530619309370653612855129/437981283218022727680 |
j-invariant |
L |
9.4565107441543 |
L(r)(E,1)/r! |
Ω |
0.082536209013095 |
Real period |
R |
6.3652270232717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
11130d1 |
Quadratic twists by: -3 |