Atkin-Lehner |
2- 3+ 5+ 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
23370j |
Isogeny class |
Conductor |
23370 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-11499792750 = -1 · 2 · 310 · 53 · 19 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 5 -1 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9,5163] |
[a1,a2,a3,a4,a6] |
Generators |
[148:4511:64] |
Generators of the group modulo torsion |
j |
80062991/11499792750 |
j-invariant |
L |
6.7442904601044 |
L(r)(E,1)/r! |
Ω |
1.0088293692181 |
Real period |
R |
3.3426318988571 |
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 |
70110y1 116850bd1 |
Quadratic twists by: -3 5 |