Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
60690v |
Isogeny class |
Conductor |
60690 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-1310925629916000000 = -1 · 28 · 34 · 56 · 77 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -2 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,189671,45000956] |
[a1,a2,a3,a4,a6] |
Generators |
[178:-9277:1] |
Generators of the group modulo torsion |
j |
153597108917748007/266827932000000 |
j-invariant |
L |
4.9494380725228 |
L(r)(E,1)/r! |
Ω |
0.18606612433105 |
Real period |
R |
0.47500759767859 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995206 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
60690n1 |
Quadratic twists by: 17 |