Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400ep |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
130560 |
Modular degree for the optimal curve |
Δ |
5175000000 = 26 · 32 · 58 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 -5 -5 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9208,-343162] |
[a1,a2,a3,a4,a6] |
Generators |
[-1509:100:27] |
Generators of the group modulo torsion |
j |
3454035520/207 |
j-invariant |
L |
6.999900673322 |
L(r)(E,1)/r! |
Ω |
0.48736670705062 |
Real period |
R |
2.3937829543755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999687349 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400ci1 55200l1 110400bb1 |
Quadratic twists by: -4 8 5 |