Atkin-Lehner |
2+ 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150f |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-2216775680000000 = -1 · 218 · 57 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 0 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-435251,-110583602] |
[a1,a2,a3,a4,a6] |
j |
-11910376892084209/2895380480 |
j-invariant |
L |
1.4869570789701 |
L(r)(E,1)/r! |
Ω |
0.092934806829698 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23030w1 115150a1 |
Quadratic twists by: 5 -7 |