Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600cd |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-415065672000000000 = -1 · 212 · 32 · 59 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -6 -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-138833,-36794463] |
[a1,a2,a3,a4,a6] |
Generators |
[488:3381:1] |
Generators of the group modulo torsion |
j |
-314432/441 |
j-invariant |
L |
3.8674247456603 |
L(r)(E,1)/r! |
Ω |
0.11765727486534 |
Real period |
R |
4.108782065723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998415278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600ie2 117600ih2 16800bc2 |
Quadratic twists by: -4 5 -7 |