Atkin-Lehner |
2+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
26714j |
Isogeny class |
Conductor |
26714 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
137924466535491296 = 25 · 1911 · 37 |
Discriminant |
Eigenvalues |
2+ -2 3 4 -5 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-221662,35956848] |
[a1,a2,a3,a4,a6] |
Generators |
[164:1923:1] |
Generators of the group modulo torsion |
j |
25601949246817/2931701216 |
j-invariant |
L |
3.7182030919461 |
L(r)(E,1)/r! |
Ω |
0.31690496006924 |
Real period |
R |
5.8664324646951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406d1 |
Quadratic twists by: -19 |