Atkin-Lehner |
2+ 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490bv |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-80960646574080 = -1 · 212 · 32 · 5 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,10812,-10814] |
[a1,a2,a3,a4,a6] |
j |
28962726911/16773120 |
j-invariant |
L |
2.8986150033661 |
L(r)(E,1)/r! |
Ω |
0.36232687542213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470ex1 2730y1 |
Quadratic twists by: -3 13 |