Atkin-Lehner |
2+ 3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120q |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-326601515986628400 = -1 · 24 · 324 · 52 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-153055,-35826578] |
[a1,a2,a3,a4,a6] |
j |
-24782729238319691776/20412594749164275 |
j-invariant |
L |
0.93284733356066 |
L(r)(E,1)/r! |
Ω |
0.11660588311756 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560bf1 |
Quadratic twists by: -4 |