Atkin-Lehner |
13- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
116909j |
Isogeny class |
Conductor |
116909 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
-3696867540065531 = -1 · 13 · 174 · 237 |
Discriminant |
Eigenvalues |
0 1 -3 0 -1 13- 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,37383,916987] |
[a1,a2,a3,a4,a6] |
Generators |
[74:8989:8] [61:1851:1] |
Generators of the group modulo torsion |
j |
39027212288/24972779 |
j-invariant |
L |
9.0824938909492 |
L(r)(E,1)/r! |
Ω |
0.2758528690815 |
Real period |
R |
2.0578211504738 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999959398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5083d1 |
Quadratic twists by: -23 |