Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950gk |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-32414034822750 = -1 · 2 · 33 · 53 · 710 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-67278,6694281] |
[a1,a2,a3,a4,a6] |
j |
-953790341/918 |
j-invariant |
L |
1.3072122467566 |
L(r)(E,1)/r! |
Ω |
0.65360643729647 |
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 |
124950dy1 124950is1 |
Quadratic twists by: 5 -7 |