Atkin-Lehner |
2- 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
61370r |
Isogeny class |
Conductor |
61370 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
547200 |
Modular degree for the optimal curve |
Δ |
-3926599775079200 = -1 · 25 · 52 · 172 · 198 |
Discriminant |
Eigenvalues |
2- -3 5+ 2 1 4 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-41583,4453527] |
[a1,a2,a3,a4,a6] |
Generators |
[993:30188:1] |
Generators of the group modulo torsion |
j |
-468201249/231200 |
j-invariant |
L |
6.3105296298725 |
L(r)(E,1)/r! |
Ω |
0.41075147004006 |
Real period |
R |
0.25605628098624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000297 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61370h1 |
Quadratic twists by: -19 |