Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
124950gi |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
-40999218750 = -1 · 2 · 32 · 58 · 73 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -1 -2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15513,-750219] |
[a1,a2,a3,a4,a6] |
j |
-3081475255/306 |
j-invariant |
L |
3.4222592130631 |
L(r)(E,1)/r! |
Ω |
0.21389118060563 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124950cy1 124950iz1 |
Quadratic twists by: 5 -7 |