Atkin-Lehner |
3+ 5+ 37- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22755b |
Isogeny class |
Conductor |
22755 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
34484815665 = 34 · 5 · 373 · 412 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-427371,107358384] |
[a1,a2,a3,a4,a6] |
Generators |
[-647:10979:1] [352:656:1] |
Generators of the group modulo torsion |
j |
8632546426724798734129/34484815665 |
j-invariant |
L |
3.8214328742339 |
L(r)(E,1)/r! |
Ω |
0.77997778007423 |
Real period |
R |
1.63313749522 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68265m1 113775f1 |
Quadratic twists by: -3 5 |