Atkin-Lehner |
2+ 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056b |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
93885696 = 28 · 33 · 172 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 5 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-708,-7236] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:3:1] |
Generators of the group modulo torsion |
j |
5678318592/13583 |
j-invariant |
L |
5.2872379414447 |
L(r)(E,1)/r! |
Ω |
0.92566462452132 |
Real period |
R |
1.4279572235351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999864203 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57528a1 115056a1 |
Quadratic twists by: -4 -3 |