Atkin-Lehner |
3- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
116325ba |
Isogeny class |
Conductor |
116325 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
388800 |
Modular degree for the optimal curve |
Δ |
-33490476421875 = -1 · 36 · 56 · 113 · 472 |
Discriminant |
Eigenvalues |
2 3- 5+ -4 11- 0 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,8025,-30969] |
[a1,a2,a3,a4,a6] |
j |
5017776128/2940179 |
j-invariant |
L |
2.314116849634 |
L(r)(E,1)/r! |
Ω |
0.38568632628521 |
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 |
12925a1 4653c1 |
Quadratic twists by: -3 5 |