Atkin-Lehner |
2+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326i |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
247812088832 = 210 · 76 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 11+ 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1577,3149] |
[a1,a2,a3,a4,a6] |
Generators |
[130:1343:1] |
Generators of the group modulo torsion |
j |
3687953625/2106368 |
j-invariant |
L |
3.4743116803977 |
L(r)(E,1)/r! |
Ω |
0.84551034943955 |
Real period |
R |
2.0545648451853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
374a1 |
Quadratic twists by: -7 |