Atkin-Lehner |
2- 3- 5+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
118170y |
Isogeny class |
Conductor |
118170 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
404352 |
Modular degree for the optimal curve |
Δ |
-18840114891000 = -1 · 23 · 315 · 53 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -3 13- 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35978,-2625919] |
[a1,a2,a3,a4,a6] |
Generators |
[62055:1229351:125] |
Generators of the group modulo torsion |
j |
-7064735707050841/25843779000 |
j-invariant |
L |
11.629888998505 |
L(r)(E,1)/r! |
Ω |
0.17328706463182 |
Real period |
R |
5.5927857208712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999572575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39390f1 |
Quadratic twists by: -3 |