Atkin-Lehner |
2- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
102752l |
Isogeny class |
Conductor |
102752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-375641583616 = -1 · 212 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 0 1 -1 3 13+ -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1352,-35152] |
[a1,a2,a3,a4,a6] |
Generators |
[3172:8957:64] |
Generators of the group modulo torsion |
j |
-13824/19 |
j-invariant |
L |
6.7678728171319 |
L(r)(E,1)/r! |
Ω |
0.37478662412894 |
Real period |
R |
4.5144839596052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008146 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102752a1 608a1 |
Quadratic twists by: -4 13 |