Atkin-Lehner |
2+ 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12710j |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
25216640000 = 210 · 54 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 2 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1088,11406] |
[a1,a2,a3,a4,a6] |
Generators |
[30:62:1] |
Generators of the group modulo torsion |
j |
142244822676601/25216640000 |
j-invariant |
L |
2.7330006342121 |
L(r)(E,1)/r! |
Ω |
1.1367266096447 |
Real period |
R |
0.60106814845006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680q1 114390bk1 63550v1 |
Quadratic twists by: -4 -3 5 |