Atkin-Lehner |
2- 5+ 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
68900c |
Isogeny class |
Conductor |
68900 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1555200 |
Modular degree for the optimal curve |
Δ |
1.06301899925E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 -3 13+ -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1730000,861662500] |
[a1,a2,a3,a4,a6] |
Generators |
[1116:-17914:1] |
Generators of the group modulo torsion |
j |
229045631385600/4252075997 |
j-invariant |
L |
3.0683131919547 |
L(r)(E,1)/r! |
Ω |
0.2282118583861 |
Real period |
R |
0.74694560212521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68900g1 |
Quadratic twists by: 5 |