Atkin-Lehner |
2- 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61880m |
Isogeny class |
Conductor |
61880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-154700000000 = -1 · 28 · 58 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- -3 5- 7+ -3 13- 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,233,18874] |
[a1,a2,a3,a4,a6] |
Generators |
[33:250:1] [3:140:1] |
Generators of the group modulo torsion |
j |
5464513584/604296875 |
j-invariant |
L |
6.740367479471 |
L(r)(E,1)/r! |
Ω |
0.78749600747585 |
Real period |
R |
0.26747625604941 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123760r1 |
Quadratic twists by: -4 |