Atkin-Lehner |
2+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56350v |
Isogeny class |
Conductor |
56350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-199156227200 = -1 · 27 · 52 · 76 · 232 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7- 3 6 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,383,21181] |
[a1,a2,a3,a4,a6] |
Generators |
[65:531:1] |
Generators of the group modulo torsion |
j |
2109375/67712 |
j-invariant |
L |
2.8742529535638 |
L(r)(E,1)/r! |
Ω |
0.75742799659288 |
Real period |
R |
0.94868851119578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56350ca1 1150b1 |
Quadratic twists by: 5 -7 |