Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490dx |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-70962670898437500 = -1 · 22 · 33 · 514 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-676725,-214711875] |
[a1,a2,a3,a4,a6] |
j |
-15600206875151814733/32299804687500 |
j-invariant |
L |
6.9902370791229 |
L(r)(E,1)/r! |
Ω |
0.083217108084916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470ca1 35490bb1 |
Quadratic twists by: -3 13 |