Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
1210j |
Isogeny class |
Conductor |
1210 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
3360 |
Modular degree for the optimal curve |
Δ |
-1509086522240 = -1 · 27 · 5 · 119 |
Discriminant |
Eigenvalues |
2- 1 5+ -5 11- -2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10711,-431639] |
[a1,a2,a3,a4,a6] |
Generators |
[318:5165:1] |
Generators of the group modulo torsion |
j |
-76711450249/851840 |
j-invariant |
L |
3.6123376270105 |
L(r)(E,1)/r! |
Ω |
0.23449009312084 |
Real period |
R |
0.55018127371816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9680s1 38720bk1 10890bb1 6050h1 |
Quadratic twists by: -4 8 -3 5 |