Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600dk |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
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 |
[599:36:1] |
Generators of the group modulo torsion |
j |
69934528/225 |
j-invariant |
L |
9.32115183017 |
L(r)(E,1)/r! |
Ω |
0.29171265616874 |
Real period |
R |
3.9941495561069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022522 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600fk2 23520bn2 117600bd2 |
Quadratic twists by: -4 5 -7 |