Atkin-Lehner |
2- 3- 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
7638i |
Isogeny class |
Conductor |
7638 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
2240 |
Modular degree for the optimal curve |
Δ |
11731968 = 210 · 32 · 19 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-228,1296] |
[a1,a2,a3,a4,a6] |
Generators |
[0:36:1] |
Generators of the group modulo torsion |
j |
1311134658625/11731968 |
j-invariant |
L |
6.8857426459672 |
L(r)(E,1)/r! |
Ω |
2.2728414314047 |
Real period |
R |
0.60591491784903 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61104q1 22914b1 |
Quadratic twists by: -4 -3 |