Atkin-Lehner |
2+ 3+ 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18768c |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
1429671168 = 28 · 33 · 17 · 233 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -1 0 -1 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2041,36133] |
[a1,a2,a3,a4,a6] |
Generators |
[12:115:1] |
Generators of the group modulo torsion |
j |
3674730793984/5584653 |
j-invariant |
L |
5.6326606595417 |
L(r)(E,1)/r! |
Ω |
1.5144351358205 |
Real period |
R |
1.2397715219169 |
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 |
9384e1 75072dj1 56304l1 |
Quadratic twists by: -4 8 -3 |