Atkin-Lehner |
2- 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61710by |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
15552 |
Modular degree for the optimal curve |
Δ |
-2221560 = -1 · 23 · 33 · 5 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 11- 1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25,-43] |
[a1,a2,a3,a4,a6] |
j |
14245319/18360 |
j-invariant |
L |
4.1643601462848 |
L(r)(E,1)/r! |
Ω |
1.3881200509734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
61710r1 |
Quadratic twists by: -11 |