Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
19800g |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-6036036019200 = -1 · 210 · 311 · 52 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 11- 0 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,285,118190] |
[a1,a2,a3,a4,a6] |
Generators |
[31:396:1] |
Generators of the group modulo torsion |
j |
137180/323433 |
j-invariant |
L |
5.0219725713878 |
L(r)(E,1)/r! |
Ω |
0.59318182736209 |
Real period |
R |
0.70551337714338 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39600g1 6600s1 19800bt1 |
Quadratic twists by: -4 -3 5 |