Atkin-Lehner |
2- 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
61380k |
Isogeny class |
Conductor |
61380 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-954581760 = -1 · 28 · 37 · 5 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,1492] |
[a1,a2,a3,a4,a6] |
j |
-65536/5115 |
j-invariant |
L |
2.5841471456758 |
L(r)(E,1)/r! |
Ω |
1.2920735735661 |
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 |
20460m1 |
Quadratic twists by: -3 |