Atkin-Lehner |
2+ 7+ 17- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
7378f |
Isogeny class |
Conductor |
7378 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-236099895584 = -1 · 25 · 77 · 172 · 31 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ -4 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1096,-18650] |
[a1,a2,a3,a4,a6] |
j |
145789036355591/236099895584 |
j-invariant |
L |
1.0441021123109 |
L(r)(E,1)/r! |
Ω |
0.52205105615546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59024z1 66402q1 51646i1 125426j1 |
Quadratic twists by: -4 -3 -7 17 |