Atkin-Lehner |
7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
7007c |
Isogeny class |
Conductor |
7007 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-2037716327647 = -1 · 77 · 114 · 132 |
Discriminant |
Eigenvalues |
-1 0 2 7- 11- 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-769,69360] |
[a1,a2,a3,a4,a6] |
j |
-426957777/17320303 |
j-invariant |
L |
1.3761296790183 |
L(r)(E,1)/r! |
Ω |
0.68806483950915 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
112112bf1 63063o1 1001b1 77077l1 |
Quadratic twists by: -4 -3 -7 -11 |