Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ek |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.3248091867692E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2744408,1169976312] |
[a1,a2,a3,a4,a6] |
Generators |
[36943943091643:-1536270789567100:14154926059] |
Generators of the group modulo torsion |
j |
2428799546888/778248135 |
j-invariant |
L |
6.5102409315183 |
L(r)(E,1)/r! |
Ω |
0.14805883449434 |
Real period |
R |
21.985317384675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600cn3 23520m3 16800br2 |
Quadratic twists by: -4 5 -7 |