Atkin-Lehner |
2+ 5- 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12710d |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
1695566873600 = 210 · 52 · 312 · 413 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1379909,-623567787] |
[a1,a2,a3,a4,a6] |
Generators |
[3194:164371:1] |
Generators of the group modulo torsion |
j |
290586363955177047479721/1695566873600 |
j-invariant |
L |
3.3873312650168 |
L(r)(E,1)/r! |
Ω |
0.13929544922505 |
Real period |
R |
4.0529336311914 |
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 |
101680bb1 114390y1 63550p1 |
Quadratic twists by: -4 -3 5 |