Atkin-Lehner |
2- 5+ 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
69700f |
Isogeny class |
Conductor |
69700 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
359424 |
Modular degree for the optimal curve |
Δ |
183071406250000 = 24 · 510 · 17 · 413 |
Discriminant |
Eigenvalues |
2- 3 5+ 1 -4 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16825,-530875] |
[a1,a2,a3,a4,a6] |
Generators |
[-1212:9881:27] |
Generators of the group modulo torsion |
j |
2106924251904/732285625 |
j-invariant |
L |
11.644027986158 |
L(r)(E,1)/r! |
Ω |
0.43111079079858 |
Real period |
R |
4.5015605560862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13940e1 |
Quadratic twists by: 5 |