Atkin-Lehner |
3+ 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115851a |
Isogeny class |
Conductor |
115851 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
371712 |
Modular degree for the optimal curve |
Δ |
-1469689499372103 = -1 · 34 · 237 · 732 |
Discriminant |
Eigenvalues |
1 3+ 0 2 -2 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7660,1829523] |
[a1,a2,a3,a4,a6] |
j |
335702375/9927927 |
j-invariant |
L |
0.72009934628497 |
L(r)(E,1)/r! |
Ω |
0.36004938850601 |
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 |
5037e1 |
Quadratic twists by: -23 |