Atkin-Lehner |
2+ 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
31150k |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24000 |
Modular degree for the optimal curve |
Δ |
3893750000 = 24 · 58 · 7 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 0 1 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2492,48416] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:128:1] [13:128:1] |
Generators of the group modulo torsion |
j |
4382337465/9968 |
j-invariant |
L |
6.0311220921595 |
L(r)(E,1)/r! |
Ω |
1.3973669934378 |
Real period |
R |
0.71934360842944 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
31150s1 |
Quadratic twists by: 5 |