Atkin-Lehner |
2+ 7+ 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
124558c |
Isogeny class |
Conductor |
124558 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
68160 |
Modular degree for the optimal curve |
Δ |
-3027257632 = -1 · 25 · 74 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ -4 1 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,334,1140] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:41:8] [3:45:1] |
Generators of the group modulo torsion |
j |
1713323367/1260832 |
j-invariant |
L |
9.445970235656 |
L(r)(E,1)/r! |
Ω |
0.90775362092773 |
Real period |
R |
1.7343124134178 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999968841 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124558e1 |
Quadratic twists by: -7 |