Atkin-Lehner |
2- 3+ 5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99120bt |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
12631852800 = 28 · 34 · 52 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-756,6156] |
[a1,a2,a3,a4,a6] |
j |
186906097744/49343175 |
j-invariant |
L |
2.3632223345398 |
L(r)(E,1)/r! |
Ω |
1.1816112108215 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24780i2 |
Quadratic twists by: -4 |