Atkin-Lehner |
2+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
106400s |
Isogeny class |
Conductor |
106400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-5320000000 = -1 · 29 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -5 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-3512] |
[a1,a2,a3,a4,a6] |
Generators |
[18:50:1] |
Generators of the group modulo torsion |
j |
-8/665 |
j-invariant |
L |
3.3335127371332 |
L(r)(E,1)/r! |
Ω |
0.6207069481067 |
Real period |
R |
0.67131372189815 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014401 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106400bn1 21280w1 |
Quadratic twists by: -4 5 |