Atkin-Lehner |
2+ 3- 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790bq |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-76654328304960 = -1 · 26 · 37 · 5 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 1 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-114669,-14923035] |
[a1,a2,a3,a4,a6] |
j |
-39678209809/18240 |
j-invariant |
L |
1.0377336209188 |
L(r)(E,1)/r! |
Ω |
0.12971670249388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930cv1 83790bg1 |
Quadratic twists by: -3 -7 |