Atkin-Lehner |
2- 5+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49300a |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
3081250000 = 24 · 58 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 0 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-102700,-12667875] |
[a1,a2,a3,a4,a6] |
j |
479175973945344/12325 |
j-invariant |
L |
2.1335210463776 |
L(r)(E,1)/r! |
Ω |
0.26669013084259 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9860c1 |
Quadratic twists by: 5 |