Atkin-Lehner |
3+ 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
83325f |
Isogeny class |
Conductor |
83325 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7526400 |
Modular degree for the optimal curve |
Δ |
4.3683950092512E+21 |
Discriminant |
Eigenvalues |
0 3+ 5+ -4 11+ 1 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-69435783,-222655640407] |
[a1,a2,a3,a4,a6] |
j |
2369483583201884848881664/279577280592078381 |
j-invariant |
L |
0.83680990741214 |
L(r)(E,1)/r! |
Ω |
0.052300614867741 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3333d1 |
Quadratic twists by: 5 |