Atkin-Lehner |
2- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
92510n |
Isogeny class |
Conductor |
92510 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
698544 |
Modular degree for the optimal curve |
Δ |
-506694297760640 = -1 · 27 · 5 · 113 · 296 |
Discriminant |
Eigenvalues |
2- -1 5+ 5 11+ 2 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-74446,7861899] |
[a1,a2,a3,a4,a6] |
j |
-76711450249/851840 |
j-invariant |
L |
3.6736512101605 |
L(r)(E,1)/r! |
Ω |
0.52480731801648 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110c1 |
Quadratic twists by: 29 |