Atkin-Lehner |
2+ 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61880g |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
579840 |
Modular degree for the optimal curve |
Δ |
297039301067600 = 24 · 52 · 76 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 4 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2103422,1174187961] |
[a1,a2,a3,a4,a6] |
Generators |
[836:65:1] |
Generators of the group modulo torsion |
j |
64325469590330854680576/18564956316725 |
j-invariant |
L |
6.6409488386542 |
L(r)(E,1)/r! |
Ω |
0.43826621538043 |
Real period |
R |
1.515277382912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123760q1 |
Quadratic twists by: -4 |