Atkin-Lehner |
2+ 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960n |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
383852733465600 = 210 · 32 · 52 · 78 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47056,-3798500] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:288:1] |
Generators of the group modulo torsion |
j |
95651055364/3186225 |
j-invariant |
L |
4.1106564113565 |
L(r)(E,1)/r! |
Ω |
0.32481190923398 |
Real period |
R |
3.16387444574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034464 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280w2 |
Quadratic twists by: -7 |