Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600fk |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
581091940800000000 = 212 · 32 · 58 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 -4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1177633,-490122863] |
[a1,a2,a3,a4,a6] |
Generators |
[540920:34330527:125] |
Generators of the group modulo torsion |
j |
69934528/225 |
j-invariant |
L |
4.7884196660596 |
L(r)(E,1)/r! |
Ω |
0.14495427851026 |
Real period |
R |
8.2585001807106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998433146 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600dk2 23520ba2 117600hi2 |
Quadratic twists by: -4 5 -7 |