Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cm |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
506880 |
Modular degree for the optimal curve |
Δ |
-868056930456660 = -1 · 22 · 317 · 5 · 72 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 5 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,17001,-1136255] |
[a1,a2,a3,a4,a6] |
Generators |
[80:815:1] |
Generators of the group modulo torsion |
j |
15212799330239/24301025460 |
j-invariant |
L |
5.6625722943842 |
L(r)(E,1)/r! |
Ω |
0.26358349746536 |
Real period |
R |
1.7902525347602 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001562 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930ci1 83790v1 |
Quadratic twists by: -3 -7 |