Atkin-Lehner |
3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13467i |
Isogeny class |
Conductor |
13467 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
756162 |
Modular degree for the optimal curve |
Δ |
-7992630097347364803 = -1 · 39 · 678 |
Discriminant |
Eigenvalues |
2 3- -4 4 2 5 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-701780,263783075] |
[a1,a2,a3,a4,a6] |
j |
-94130176/19683 |
j-invariant |
L |
6.0358350894096 |
L(r)(E,1)/r! |
Ω |
0.22354944775591 |
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 |
40401l1 13467e1 |
Quadratic twists by: -3 -67 |