Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
1830j |
Isogeny class |
Conductor |
1830 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
448 |
Modular degree for the optimal curve |
Δ |
-3162240 = -1 · 27 · 34 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19,81] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:7:1] |
Generators of the group modulo torsion |
j |
756058031/3162240 |
j-invariant |
L |
4.2397540427813 |
L(r)(E,1)/r! |
Ω |
1.8023378949031 |
Real period |
R |
0.084012985395469 |
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 |
14640t1 58560w1 5490k1 9150a1 |
Quadratic twists by: -4 8 -3 5 |