Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440br |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8528268902400 = -1 · 214 · 36 · 52 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9948,-406928] |
[a1,a2,a3,a4,a6] |
Generators |
[324:5512:1] |
Generators of the group modulo torsion |
j |
-9115564624/714025 |
j-invariant |
L |
6.337792927764 |
L(r)(E,1)/r! |
Ω |
0.23795168193541 |
Real period |
R |
3.3293486708178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440el2 2340g2 4160h2 |
Quadratic twists by: -4 8 -3 |