Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200k |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-357120000 = -1 · 211 · 32 · 54 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 -3 1 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8,912] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:20:1] [-7:24:1] |
Generators of the group modulo torsion |
j |
-50/279 |
j-invariant |
L |
7.080601320966 |
L(r)(E,1)/r! |
Ω |
1.363795150913 |
Real period |
R |
0.21632651710394 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18600o1 111600bz1 37200s1 |
Quadratic twists by: -4 -3 5 |