Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
129850bq |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
76383613250000 = 24 · 56 · 78 · 53 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ -3 1 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-760138,254769031] |
[a1,a2,a3,a4,a6] |
Generators |
[4070:-239:8] |
Generators of the group modulo torsion |
j |
539258169625/848 |
j-invariant |
L |
16.346619517371 |
L(r)(E,1)/r! |
Ω |
0.52163023444498 |
Real period |
R |
3.917195164944 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036289 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5194b1 129850cv1 |
Quadratic twists by: 5 -7 |