Atkin-Lehner |
2- 3+ 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cj |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-45182559394176750 = -1 · 2 · 317 · 53 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 1 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,67005,7775295] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:37029:8] |
Generators of the group modulo torsion |
j |
1164854099347679/1581966996750 |
j-invariant |
L |
7.788753330925 |
L(r)(E,1)/r! |
Ω |
0.24253440501398 |
Real period |
R |
5.3523357029664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106470x1 35490e1 |
Quadratic twists by: -3 13 |