Atkin-Lehner |
2- 3+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
5694c |
Isogeny class |
Conductor |
5694 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
51744 |
Modular degree for the optimal curve |
Δ |
-12568123001880576 = -1 · 214 · 314 · 133 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 2 -6 13+ 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,39480,-4453047] |
[a1,a2,a3,a4,a6] |
Generators |
[241:4253:1] |
Generators of the group modulo torsion |
j |
6805412533571944319/12568123001880576 |
j-invariant |
L |
5.3280685470607 |
L(r)(E,1)/r! |
Ω |
0.20935072992166 |
Real period |
R |
0.90894434648609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45552m1 17082c1 74022a1 |
Quadratic twists by: -4 -3 13 |