Atkin-Lehner |
2- 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
49300f |
Isogeny class |
Conductor |
49300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-76952172800 = -1 · 28 · 52 · 17 · 294 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 0 1 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,692,-11132] |
[a1,a2,a3,a4,a6] |
Generators |
[1620:1682:125] |
Generators of the group modulo torsion |
j |
5717870000/12023777 |
j-invariant |
L |
8.416606931824 |
L(r)(E,1)/r! |
Ω |
0.56565677025702 |
Real period |
R |
2.4798922168575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999823 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49300n1 |
Quadratic twists by: 5 |