Atkin-Lehner |
2- 3+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
2418c |
Isogeny class |
Conductor |
2418 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
408 |
Modular degree for the optimal curve |
Δ |
-21762 = -1 · 2 · 33 · 13 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -4 13- -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-11,11] |
[a1,a2,a3,a4,a6] |
j |
-148035889/21762 |
j-invariant |
L |
3.6921337627048 |
L(r)(E,1)/r! |
Ω |
3.6921337627048 |
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 |
19344s1 77376s1 7254h1 60450bd1 |
Quadratic twists by: -4 8 -3 5 |