Atkin-Lehner |
2- 3+ 7+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
49266bf |
Isogeny class |
Conductor |
49266 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
262528 |
Modular degree for the optimal curve |
Δ |
-153155858256954 = -1 · 2 · 33 · 72 · 17 · 237 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 6 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82808,-9170395] |
[a1,a2,a3,a4,a6] |
j |
-2325797599192318467/5672439194702 |
j-invariant |
L |
3.9395486815787 |
L(r)(E,1)/r! |
Ω |
0.14069816718985 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49266a1 |
Quadratic twists by: -3 |