Atkin-Lehner |
2+ 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
8850p |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-26550000000 = -1 · 27 · 32 · 58 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 0 2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-9951,381298] |
[a1,a2,a3,a4,a6] |
j |
-278933783305/67968 |
j-invariant |
L |
2.3169367281598 |
L(r)(E,1)/r! |
Ω |
1.1584683640799 |
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 |
70800bv1 26550ci1 8850y1 |
Quadratic twists by: -4 -3 5 |