Atkin-Lehner |
2- 3- 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
24102bd |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
208 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-143918972427829248 = -1 · 226 · 36 · 134 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4153325,3259020885] |
[a1,a2,a3,a4,a6] |
Generators |
[975:11160:1] |
Generators of the group modulo torsion |
j |
-10868855989257959199625/197419715264512 |
j-invariant |
L |
8.4771965887822 |
L(r)(E,1)/r! |
Ω |
0.30000032943843 |
Real period |
R |
0.54340944100928 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2678f1 |
Quadratic twists by: -3 |