Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
35490by |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
73819200 = 26 · 3 · 52 · 7 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108,106] |
[a1,a2,a3,a4,a6] |
Generators |
[10:2:1] |
Generators of the group modulo torsion |
j |
62570773/33600 |
j-invariant |
L |
6.1539007937881 |
L(r)(E,1)/r! |
Ω |
1.696233448588 |
Real period |
R |
1.8139899313125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106470fc1 35490dc1 |
Quadratic twists by: -3 13 |