Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
34650bb |
Isogeny class |
Conductor |
34650 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
72960 |
Modular degree for the optimal curve |
Δ |
-222379299450 = -1 · 2 · 37 · 52 · 75 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 5 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11592,483826] |
[a1,a2,a3,a4,a6] |
Generators |
[35:-364:1] |
Generators of the group modulo torsion |
j |
-9452623635625/12201882 |
j-invariant |
L |
4.4637636205089 |
L(r)(E,1)/r! |
Ω |
0.9929833391893 |
Real period |
R |
0.22476528277675 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11550bv1 34650dy1 |
Quadratic twists by: -3 5 |