Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gk |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-468895924224 = -1 · 221 · 33 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1409,39201] |
[a1,a2,a3,a4,a6] |
j |
-24100657/36504 |
j-invariant |
L |
3.361062269453 |
L(r)(E,1)/r! |
Ω |
0.84026587822252 |
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 |
122304el1 30576cs1 122304go1 |
Quadratic twists by: -4 8 -7 |