Atkin-Lehner |
2+ 5+ 7+ 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
113050m |
Isogeny class |
Conductor |
113050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
69378785000000 = 26 · 57 · 7 · 172 · 193 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 4 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-123900,16730000] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:5780:1] |
Generators of the group modulo torsion |
j |
13462418343826369/4440242240 |
j-invariant |
L |
7.4775698854782 |
L(r)(E,1)/r! |
Ω |
0.60444748151793 |
Real period |
R |
1.0309097896654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999639629 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22610q1 |
Quadratic twists by: 5 |