Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cy |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
903168 |
Modular degree for the optimal curve |
Δ |
-135218235129949440 = -1 · 28 · 39 · 5 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -3 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,125602,4378861] |
[a1,a2,a3,a4,a6] |
j |
39413493/24320 |
j-invariant |
L |
3.2421245692267 |
L(r)(E,1)/r! |
Ω |
0.2026327842764 |
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 |
83790s1 83790da1 |
Quadratic twists by: -3 -7 |