Atkin-Lehner |
2+ 5+ 17- 89- |
Signs for the Atkin-Lehner involutions |
Class |
60520c |
Isogeny class |
Conductor |
60520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
35328 |
Modular degree for the optimal curve |
Δ |
658457600 = 210 · 52 · 172 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 4 4 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-256,-900] |
[a1,a2,a3,a4,a6] |
Generators |
[234:1005:8] |
Generators of the group modulo torsion |
j |
1819026436/643025 |
j-invariant |
L |
10.321981331991 |
L(r)(E,1)/r! |
Ω |
1.2279332309866 |
Real period |
R |
4.2029896542069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000197 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121040g1 |
Quadratic twists by: -4 |