Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850cf |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
-28338320515750000 = -1 · 24 · 56 · 79 · 532 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77813,-11668469] |
[a1,a2,a3,a4,a6] |
Generators |
[84696153177:2759142498644:72511713] |
Generators of the group modulo torsion |
j |
-28344726649/15415792 |
j-invariant |
L |
16.521508149394 |
L(r)(E,1)/r! |
Ω |
0.13938768145339 |
Real period |
R |
14.816147965313 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027692 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5194k1 18550q1 |
Quadratic twists by: 5 -7 |