Atkin-Lehner |
2- 3- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
62832br |
Isogeny class |
Conductor |
62832 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
365568 |
Modular degree for the optimal curve |
Δ |
8565446736 = 24 · 37 · 7 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-617457,-186954930] |
[a1,a2,a3,a4,a6] |
Generators |
[69540:1321155:64] |
Generators of the group modulo torsion |
j |
1627138751942907609088/535340421 |
j-invariant |
L |
8.7555725427401 |
L(r)(E,1)/r! |
Ω |
0.17031300686208 |
Real period |
R |
7.3441019015534 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999834 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15708c1 |
Quadratic twists by: -4 |