Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550u |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5080320 |
Modular degree for the optimal curve |
Δ |
-3.381818461875E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 7 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-20615001,36133353148] |
[a1,a2,a3,a4,a6] |
Generators |
[2222:-37149:1] |
Generators of the group modulo torsion |
j |
-62008858471273416662401/216436381560000000 |
j-invariant |
L |
4.3955165856354 |
L(r)(E,1)/r! |
Ω |
0.14169421256638 |
Real period |
R |
1.0340381365438 |
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 |
97650dn1 6510s1 |
Quadratic twists by: -3 5 |