Atkin-Lehner |
2+ 3+ 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
64050c |
Isogeny class |
Conductor |
64050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-254214450000000 = -1 · 27 · 35 · 58 · 73 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 1 5 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11525,898125] |
[a1,a2,a3,a4,a6] |
j |
-10836408452689/16269724800 |
j-invariant |
L |
0.99477762726398 |
L(r)(E,1)/r! |
Ω |
0.49738881290498 |
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 |
12810u1 |
Quadratic twists by: 5 |