Atkin-Lehner |
2- 5- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115150cx |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
1013376 |
Modular degree for the optimal curve |
Δ |
-9710691988480000 = -1 · 213 · 54 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 2 5- 7- -4 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-48413,-6288269] |
[a1,a2,a3,a4,a6] |
Generators |
[311:2820:1] |
Generators of the group modulo torsion |
j |
-497562775/385024 |
j-invariant |
L |
15.68472745479 |
L(r)(E,1)/r! |
Ω |
0.15572740476581 |
Real period |
R |
3.8738123796077 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997268 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150k1 115150cv1 |
Quadratic twists by: 5 -7 |