Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
1240b |
Isogeny class |
Conductor |
1240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96 |
Modular degree for the optimal curve |
Δ |
-198400 = -1 · 28 · 52 · 31 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4,20] |
[a1,a2,a3,a4,a6] |
j |
21296/775 |
j-invariant |
L |
2.4011990028242 |
L(r)(E,1)/r! |
Ω |
2.4011990028242 |
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 |
2480c1 9920p1 11160r1 6200l1 |
Quadratic twists by: -4 8 -3 5 |