Atkin-Lehner |
2- 3+ 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
13452c |
Isogeny class |
Conductor |
13452 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
188928 |
Modular degree for the optimal curve |
Δ |
-263114551285519104 = -1 · 28 · 316 · 193 · 592 |
Discriminant |
Eigenvalues |
2- 3+ -1 5 3 2 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6459,24676209] |
[a1,a2,a3,a4,a6] |
j |
116389113430016/1027791215959059 |
j-invariant |
L |
2.9352619803743 |
L(r)(E,1)/r! |
Ω |
0.2446051650312 |
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 |
53808p1 40356b1 |
Quadratic twists by: -4 -3 |