Atkin-Lehner |
2+ 3- 5- 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120bc |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
947388960000 = 28 · 35 · 54 · 7 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8580,-305172] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:60:1] |
Generators of the group modulo torsion |
j |
272895407104336/3700738125 |
j-invariant |
L |
8.7858858651346 |
L(r)(E,1)/r! |
Ω |
0.49645507680692 |
Real period |
R |
0.88486212133278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49560e2 |
Quadratic twists by: -4 |