Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
17800f |
Isogeny class |
Conductor |
17800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
563975200000000 = 211 · 58 · 893 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 -2 -5 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125875,-17151250] |
[a1,a2,a3,a4,a6] |
Generators |
[-678203850:572612561:3375000] |
Generators of the group modulo torsion |
j |
275709782610/704969 |
j-invariant |
L |
8.8324083047402 |
L(r)(E,1)/r! |
Ω |
0.25350201712033 |
Real period |
R |
11.613856706247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35600p1 17800n1 |
Quadratic twists by: -4 5 |