Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
114660o |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
266112 |
Modular degree for the optimal curve |
Δ |
-85328538750000 = -1 · 24 · 37 · 57 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 3 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8232,338933] |
[a1,a2,a3,a4,a6] |
Generators |
[7:630:1] |
Generators of the group modulo torsion |
j |
2202927104/3046875 |
j-invariant |
L |
5.8715816942611 |
L(r)(E,1)/r! |
Ω |
0.40954707409916 |
Real period |
R |
2.3894614576895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38220h1 114660bv1 |
Quadratic twists by: -3 -7 |