Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790b |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
-819243133759260 = -1 · 22 · 39 · 5 · 78 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-10005,-1427455] |
[a1,a2,a3,a4,a6] |
j |
-47832147/353780 |
j-invariant |
L |
0.84472094118133 |
L(r)(E,1)/r! |
Ω |
0.21118024074548 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790db1 11970g1 |
Quadratic twists by: -3 -7 |