Atkin-Lehner |
2+ 5+ 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
98050c |
Isogeny class |
Conductor |
98050 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4363200 |
Modular degree for the optimal curve |
Δ |
-286254814958500000 = -1 · 25 · 56 · 372 · 535 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 -5 2 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5156851,4507031598] |
[a1,a2,a3,a4,a6] |
Generators |
[1326:317:1] |
Generators of the group modulo torsion |
j |
-970638056074980108577/18320308157344 |
j-invariant |
L |
1.2825678078785 |
L(r)(E,1)/r! |
Ω |
0.28358833180619 |
Real period |
R |
0.45226396439929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998119244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3922b1 |
Quadratic twists by: 5 |