Atkin-Lehner |
2+ 7+ 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
113386b |
Isogeny class |
Conductor |
113386 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
16722720 |
Modular degree for the optimal curve |
Δ |
-6.1022170579718E+23 |
Discriminant |
Eigenvalues |
2+ -2 0 7+ -3 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,6760994,36970344912] |
[a1,a2,a3,a4,a6] |
Generators |
[15343017123:1548989436891:1685159] |
Generators of the group modulo torsion |
j |
5928859188923990375/105853039124365312 |
j-invariant |
L |
2.6644140324318 |
L(r)(E,1)/r! |
Ω |
0.068198118058167 |
Real period |
R |
9.7671831287166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
113386e1 |
Quadratic twists by: -7 |