Atkin-Lehner |
2+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
115150x |
Isogeny class |
Conductor |
115150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
311040 |
Modular degree for the optimal curve |
Δ |
-120957878125000 = -1 · 23 · 58 · 77 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -2 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,6508,487416] |
[a1,a2,a3,a4,a6] |
Generators |
[53:963:1] |
Generators of the group modulo torsion |
j |
663255/2632 |
j-invariant |
L |
4.1946941609919 |
L(r)(E,1)/r! |
Ω |
0.41982098241559 |
Real period |
R |
4.9958128323627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000139457 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115150cf1 16450g1 |
Quadratic twists by: 5 -7 |