Atkin-Lehner |
2+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37030g |
Isogeny class |
Conductor |
37030 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
5323062500 = 22 · 56 · 7 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ -2 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-52424,-4606932] |
[a1,a2,a3,a4,a6] |
Generators |
[282:1584:1] |
Generators of the group modulo torsion |
j |
1309589935642143/437500 |
j-invariant |
L |
3.7208167114911 |
L(r)(E,1)/r! |
Ω |
0.31551254830224 |
Real period |
R |
1.9654879716157 |
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 |
37030e1 |
Quadratic twists by: -23 |