Atkin-Lehner |
3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7497p |
Isogeny class |
Conductor |
7497 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-4500920263959 = -1 · 38 · 79 · 17 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 6 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1994,108168] |
[a1,a2,a3,a4,a6] |
j |
-29791/153 |
j-invariant |
L |
1.3428043515237 |
L(r)(E,1)/r! |
Ω |
0.67140217576185 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952gn1 2499b1 7497g1 127449bm1 |
Quadratic twists by: -4 -3 -7 17 |