Atkin-Lehner |
3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
61893h |
Isogeny class |
Conductor |
61893 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-638025885741583287 = -1 · 38 · 134 · 237 |
Discriminant |
Eigenvalues |
1 3- 2 -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-247671,61116304] |
[a1,a2,a3,a4,a6] |
j |
-15568817473/5912127 |
j-invariant |
L |
2.1682806936644 |
L(r)(E,1)/r! |
Ω |
0.27103508696668 |
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 |
20631d1 2691d1 |
Quadratic twists by: -3 -23 |