Atkin-Lehner |
2+ 3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
108150t |
Isogeny class |
Conductor |
108150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
9125156250000 = 24 · 34 · 510 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-235000,43750000] |
[a1,a2,a3,a4,a6] |
Generators |
[-125:8500:1] |
Generators of the group modulo torsion |
j |
91856556473673601/584010000 |
j-invariant |
L |
4.8449463292886 |
L(r)(E,1)/r! |
Ω |
0.65133846966346 |
Real period |
R |
1.8596115961283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000091902 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630bd1 |
Quadratic twists by: 5 |