Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490cw |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
23149701120000 = 214 · 3 · 54 · 73 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-173625,27772935] |
[a1,a2,a3,a4,a6] |
Generators |
[-177:7368:1] |
Generators of the group modulo torsion |
j |
263469645912923533/10536960000 |
j-invariant |
L |
8.4984375335159 |
L(r)(E,1)/r! |
Ω |
0.63408547283904 |
Real period |
R |
0.15955558001671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470bx1 35490c1 |
Quadratic twists by: -3 13 |