Atkin-Lehner |
2+ 3- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
26226h |
Isogeny class |
Conductor |
26226 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
486720 |
Modular degree for the optimal curve |
Δ |
-100341746860032 = -1 · 215 · 37 · 313 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 0 -4 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1765125,903074773] |
[a1,a2,a3,a4,a6] |
Generators |
[779:173:1] |
Generators of the group modulo torsion |
j |
-834300915814216242001/137642999808 |
j-invariant |
L |
5.7502183242574 |
L(r)(E,1)/r! |
Ω |
0.46956357097228 |
Real period |
R |
3.0614695643611 |
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 |
8742g1 |
Quadratic twists by: -3 |