Atkin-Lehner |
2+ 5+ 19- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
78850c |
Isogeny class |
Conductor |
78850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-1872687500 = -1 · 22 · 56 · 192 · 83 |
Discriminant |
Eigenvalues |
2+ -3 5+ -1 1 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8,-2084] |
[a1,a2,a3,a4,a6] |
Generators |
[39:218:1] [14:18:1] |
Generators of the group modulo torsion |
j |
3375/119852 |
j-invariant |
L |
4.7604392034593 |
L(r)(E,1)/r! |
Ω |
0.6829848640446 |
Real period |
R |
0.87125635100602 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3154d1 |
Quadratic twists by: 5 |