Atkin-Lehner |
2+ 3+ 5+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950f |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
18650736000000 = 210 · 37 · 56 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 1 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-20050,1064500] |
[a1,a2,a3,a4,a6] |
j |
57053285789473/1193647104 |
j-invariant |
L |
1.3757537494737 |
L(r)(E,1)/r! |
Ω |
0.68787687298309 |
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 |
3198f1 |
Quadratic twists by: 5 |