Atkin-Lehner |
2+ 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8610h |
Isogeny class |
Conductor |
8610 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
336000 |
Modular degree for the optimal curve |
Δ |
1.1753250902508E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5202453,-4537859744] |
[a1,a2,a3,a4,a6] |
Generators |
[-1270:5247:1] |
Generators of the group modulo torsion |
j |
15572132426082985286796361/117532509025075200000 |
j-invariant |
L |
4.0194921759172 |
L(r)(E,1)/r! |
Ω |
0.10001039512413 |
Real period |
R |
1.6076297552583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68880bs1 25830bb1 43050bj1 60270b1 |
Quadratic twists by: -4 -3 5 -7 |