Atkin-Lehner |
3+ 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
7035c |
Isogeny class |
Conductor |
7035 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3040 |
Modular degree for the optimal curve |
Δ |
-16891035 = -1 · 3 · 5 · 75 · 67 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -5 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-96,446] |
[a1,a2,a3,a4,a6] |
Generators |
[11:24:1] |
Generators of the group modulo torsion |
j |
-98867482624/16891035 |
j-invariant |
L |
1.4770048515512 |
L(r)(E,1)/r! |
Ω |
2.1121500309727 |
Real period |
R |
0.13985794852565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112560cf1 21105n1 35175w1 49245be1 |
Quadratic twists by: -4 -3 5 -7 |