Atkin-Lehner |
2- 5+ 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
62320v |
Isogeny class |
Conductor |
62320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
112320 |
Modular degree for the optimal curve |
Δ |
-5105254400000 = -1 · 221 · 55 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 0 5+ 3 -3 -3 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2803,122802] |
[a1,a2,a3,a4,a6] |
j |
-594611161929/1246400000 |
j-invariant |
L |
1.3632573686673 |
L(r)(E,1)/r! |
Ω |
0.68162868260959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7790b1 |
Quadratic twists by: -4 |