Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10304bk |
Isogeny class |
Conductor |
10304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
-8023601152 = -1 · 212 · 7 · 234 |
Discriminant |
Eigenvalues |
2- 2 4 7- 4 -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1401,21113] |
[a1,a2,a3,a4,a6] |
j |
-74299881664/1958887 |
j-invariant |
L |
5.2389810489204 |
L(r)(E,1)/r! |
Ω |
1.3097452622301 |
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 |
10304v1 5152b1 92736fe1 72128cg1 |
Quadratic twists by: -4 8 -3 -7 |