Atkin-Lehner |
2- 3- 23- 103- |
Signs for the Atkin-Lehner involutions |
Class |
113712r |
Isogeny class |
Conductor |
113712 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
7452229632 = 220 · 3 · 23 · 103 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -3 -1 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-488,-204] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:1234:27] |
Generators of the group modulo torsion |
j |
3144219625/1819392 |
j-invariant |
L |
10.440198249736 |
L(r)(E,1)/r! |
Ω |
1.1141063521924 |
Real period |
R |
4.6854585417501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14214a1 |
Quadratic twists by: -4 |