Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
61710g |
Isogeny class |
Conductor |
61710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-2488228286940 = -1 · 22 · 35 · 5 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 11- -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1692,-70308] |
[a1,a2,a3,a4,a6] |
Generators |
[62:496:1] |
Generators of the group modulo torsion |
j |
302111711/1404540 |
j-invariant |
L |
2.2838344045271 |
L(r)(E,1)/r! |
Ω |
0.4104761861162 |
Real period |
R |
2.7819328887513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000505 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
510c1 |
Quadratic twists by: -11 |