Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1210b |
Isogeny class |
Conductor |
1210 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-13310 = -1 · 2 · 5 · 113 |
Discriminant |
Eigenvalues |
2+ -3 5+ -5 11+ 4 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,5,-5] |
[a1,a2,a3,a4,a6] |
Generators |
[3:4:1] |
Generators of the group modulo torsion |
j |
9261/10 |
j-invariant |
L |
1.0045266336131 |
L(r)(E,1)/r! |
Ω |
2.1523637719024 |
Real period |
R |
0.23335428860272 |
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 |
9680n1 38720be1 10890by1 6050y1 |
Quadratic twists by: -4 8 -3 5 |