Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
88200bc |
Isogeny class |
Conductor |
88200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
296407714176000 = 210 · 39 · 53 · 76 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-138915,19911150] |
[a1,a2,a3,a4,a6] |
Generators |
[175:980:1] |
Generators of the group modulo torsion |
j |
1000188 |
j-invariant |
L |
4.9434576439154 |
L(r)(E,1)/r! |
Ω |
0.54376082951481 |
Real period |
R |
1.1364044112408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88200fh2 88200fk2 1800e2 |
Quadratic twists by: -3 5 -7 |