Atkin-Lehner |
2+ 3+ 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102a |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1686754368 = -1 · 26 · 39 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -1 -3 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-258,-2476] |
[a1,a2,a3,a4,a6] |
Generators |
[20:-2:1] [28:94:1] |
Generators of the group modulo torsion |
j |
-96702579/85696 |
j-invariant |
L |
5.1531168105134 |
L(r)(E,1)/r! |
Ω |
0.5742891727732 |
Real period |
R |
2.2432587339357 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24102t1 |
Quadratic twists by: -3 |