Atkin-Lehner |
2- 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
112338y |
Isogeny class |
Conductor |
112338 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
284544 |
Modular degree for the optimal curve |
Δ |
2385347346432 = 219 · 36 · 792 |
Discriminant |
Eigenvalues |
2- 3- -4 -1 0 -4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3422,-19475] |
[a1,a2,a3,a4,a6] |
Generators |
[121:1091:1] [-41:245:1] |
Generators of the group modulo torsion |
j |
973784889/524288 |
j-invariant |
L |
13.253498056542 |
L(r)(E,1)/r! |
Ω |
0.66461811846928 |
Real period |
R |
0.5247769433706 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999979016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12482b1 112338q1 |
Quadratic twists by: -3 -79 |