Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
39900c |
Isogeny class |
Conductor |
39900 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-254618171718750000 = -1 · 24 · 36 · 510 · 76 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 4 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,43967,24002062] |
[a1,a2,a3,a4,a6] |
Generators |
[70346:6598125:8] |
Generators of the group modulo torsion |
j |
37597098131456/1018472686875 |
j-invariant |
L |
5.2611699894029 |
L(r)(E,1)/r! |
Ω |
0.23393610732896 |
Real period |
R |
5.6224432917549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119700q1 7980d1 |
Quadratic twists by: -3 5 |