Atkin-Lehner |
2+ 3+ 5- 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880p |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
-133646964259553280 = -1 · 225 · 36 · 5 · 1033 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 -3 1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-82785,-19807263] |
[a1,a2,a3,a4,a6] |
Generators |
[7977:711936:1] |
Generators of the group modulo torsion |
j |
-239355822010969/509822709120 |
j-invariant |
L |
3.0966806722761 |
L(r)(E,1)/r! |
Ω |
0.13191495027869 |
Real period |
R |
0.97811779797158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000051052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98880bz1 3090d1 |
Quadratic twists by: -4 8 |