Atkin-Lehner |
2- 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
94800bq |
Isogeny class |
Conductor |
94800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-6067200000000 = -1 · 216 · 3 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -5 5 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,118512] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:250:1] |
Generators of the group modulo torsion |
j |
-1/94800 |
j-invariant |
L |
5.0770238869637 |
L(r)(E,1)/r! |
Ω |
0.60041844588677 |
Real period |
R |
2.1139523283126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000762 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11850p1 18960y1 |
Quadratic twists by: -4 5 |