Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240bs |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-186397065216000 = -1 · 218 · 39 · 53 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3597,-651598] |
[a1,a2,a3,a4,a6] |
j |
1723683599/62424000 |
j-invariant |
L |
1.0930674283349 |
L(r)(E,1)/r! |
Ω |
0.27326685708374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1530d1 48960fu1 4080v1 61200ev1 |
Quadratic twists by: -4 8 -3 5 |