Atkin-Lehner |
3+ 5- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
49995b |
Isogeny class |
Conductor |
49995 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
4288926533203125 = 33 · 510 · 115 · 101 |
Discriminant |
Eigenvalues |
-2 3+ 5- 1 11- 0 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-55617,3944482] |
[a1,a2,a3,a4,a6] |
Generators |
[-233:2062:1] |
Generators of the group modulo torsion |
j |
704664877343182848/158849130859375 |
j-invariant |
L |
3.589412428879 |
L(r)(E,1)/r! |
Ω |
0.41221113262004 |
Real period |
R |
0.08707703758591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49995a1 |
Quadratic twists by: -3 |