Atkin-Lehner |
2- 3- 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354cc |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-135966699792 = -1 · 24 · 311 · 72 · 11 · 89 |
Discriminant |
Eigenvalues |
2- 3- 4 7- 11- -3 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1418,-26791] |
[a1,a2,a3,a4,a6] |
Generators |
[49:115:1] |
Generators of the group modulo torsion |
j |
-432252699481/186511248 |
j-invariant |
L |
15.909341388326 |
L(r)(E,1)/r! |
Ω |
0.38101690129845 |
Real period |
R |
2.6096843119393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000069072 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41118h1 |
Quadratic twists by: -3 |