Atkin-Lehner |
2+ 3- 13+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192g |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69632 |
Modular degree for the optimal curve |
Δ |
1331935488 = 28 · 38 · 13 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 -4 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2415,45646] |
[a1,a2,a3,a4,a6] |
Generators |
[30:14:1] |
Generators of the group modulo torsion |
j |
8346562000/7137 |
j-invariant |
L |
7.6603656009246 |
L(r)(E,1)/r! |
Ω |
1.5144453058274 |
Real period |
R |
2.5290994433581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000053517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57096l1 38064j1 |
Quadratic twists by: -4 -3 |