Atkin-Lehner |
2- 3- 7- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
30702x |
Isogeny class |
Conductor |
30702 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
70400 |
Modular degree for the optimal curve |
Δ |
-5877985584912 = -1 · 24 · 3 · 72 · 17 · 435 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 -5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-62,-116652] |
[a1,a2,a3,a4,a6] |
Generators |
[1902:11992:27] |
Generators of the group modulo torsion |
j |
-26383748833/5877985584912 |
j-invariant |
L |
11.726382424401 |
L(r)(E,1)/r! |
Ω |
0.34651996744084 |
Real period |
R |
0.84601058569614 |
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 |
92106bc1 |
Quadratic twists by: -3 |