Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710cd |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-448850622482887680 = -1 · 210 · 37 · 5 · 119 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-513345,-145404225] |
[a1,a2,a3,a4,a6] |
Generators |
[2679:131760:1] |
Generators of the group modulo torsion |
j |
-8444922396903721/253364474880 |
j-invariant |
L |
8.4950263651784 |
L(r)(E,1)/r! |
Ω |
0.08902251830576 |
Real period |
R |
2.3856397590942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5610j1 |
Quadratic twists by: -11 |