Atkin-Lehner |
3+ 5+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
87975h |
Isogeny class |
Conductor |
87975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
-2181505078125 = -1 · 33 · 58 · 17 · 233 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 -5 1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2292,83241] |
[a1,a2,a3,a4,a6] |
j |
-3157114563/5170975 |
j-invariant |
L |
2.9494949168755 |
L(r)(E,1)/r! |
Ω |
0.73737370453362 |
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 |
87975e1 17595h1 |
Quadratic twists by: -3 5 |