Atkin-Lehner |
2- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
103684d |
Isogeny class |
Conductor |
103684 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
608256 |
Modular degree for the optimal curve |
Δ |
-314050258267056752 = -1 · 24 · 78 · 237 |
Discriminant |
Eigenvalues |
2- 1 0 7- 2 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,43202,-26725511] |
[a1,a2,a3,a4,a6] |
j |
32000/1127 |
j-invariant |
L |
3.5327305525132 |
L(r)(E,1)/r! |
Ω |
0.14719710953404 |
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 |
14812a1 4508a1 |
Quadratic twists by: -7 -23 |