Atkin-Lehner |
2+ 3- 13+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102j |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1709568 |
Modular degree for the optimal curve |
Δ |
2.0031490379496E+19 |
Discriminant |
Eigenvalues |
2+ 3- -4 -1 3 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6764769,6770432709] |
[a1,a2,a3,a4,a6] |
Generators |
[1357:8708:1] |
Generators of the group modulo torsion |
j |
46962924452705609230609/27478038929349528 |
j-invariant |
L |
2.815089350211 |
L(r)(E,1)/r! |
Ω |
0.21382341528478 |
Real period |
R |
6.5827433970732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8034h1 |
Quadratic twists by: -3 |