Atkin-Lehner |
2+ 3- 11- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
61248u |
Isogeny class |
Conductor |
61248 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-6015552728334336 = -1 · 223 · 35 · 112 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- 0 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,41535,-1805409] |
[a1,a2,a3,a4,a6] |
Generators |
[219:-4224:1] |
Generators of the group modulo torsion |
j |
30228456935951/22947512544 |
j-invariant |
L |
8.0174489569694 |
L(r)(E,1)/r! |
Ω |
0.23753462268795 |
Real period |
R |
0.84381898374646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000154 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61248bh1 1914k1 |
Quadratic twists by: -4 8 |