Atkin-Lehner |
2+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
75088j |
Isogeny class |
Conductor |
75088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
-1252549535744 = -1 · 211 · 13 · 196 |
Discriminant |
Eigenvalues |
2+ 1 -1 -5 2 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5896,-184364] |
[a1,a2,a3,a4,a6] |
Generators |
[1530:19133:8] |
Generators of the group modulo torsion |
j |
-235298/13 |
j-invariant |
L |
4.2436714473853 |
L(r)(E,1)/r! |
Ω |
0.27153901996425 |
Real period |
R |
3.9070549122691 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000021 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37544f1 208b1 |
Quadratic twists by: -4 -19 |