Atkin-Lehner |
2+ 3- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434x |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2365440 |
Modular degree for the optimal curve |
Δ |
-515218107571934976 = -1 · 28 · 311 · 118 · 53 |
Discriminant |
Eigenvalues |
2+ 3- -3 -3 11- 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170451,43932213] |
[a1,a2,a3,a4,a6] |
Generators |
[333:4734:1] [-234:8541:1] |
Generators of the group modulo torsion |
j |
-3504731857/3297024 |
j-invariant |
L |
6.6420829501082 |
L(r)(E,1)/r! |
Ω |
0.26779017908196 |
Real period |
R |
1.0334712681271 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000010359 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38478k1 115434bv1 |
Quadratic twists by: -3 -11 |