Atkin-Lehner |
2- 5+ 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
62050ba |
Isogeny class |
Conductor |
62050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1756654890625000 = 23 · 59 · 172 · 733 |
Discriminant |
Eigenvalues |
2- -1 5+ 1 -3 4 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-40813,2433531] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:2152:1] |
Generators of the group modulo torsion |
j |
481171514159881/112425913000 |
j-invariant |
L |
8.5167348071345 |
L(r)(E,1)/r! |
Ω |
0.44325973136201 |
Real period |
R |
0.8005779122135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998635 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12410c1 |
Quadratic twists by: 5 |