Atkin-Lehner |
2- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600db |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-85184000000000 = -1 · 215 · 59 · 113 |
Discriminant |
Eigenvalues |
2- -3 5- -3 11+ 4 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11500,-650000] |
[a1,a2,a3,a4,a6] |
Generators |
[150:1000:1] |
Generators of the group modulo torsion |
j |
-2628072/1331 |
j-invariant |
L |
2.5288240233249 |
L(r)(E,1)/r! |
Ω |
0.22511945242233 |
Real period |
R |
1.4041567688366 |
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 |
17600dk1 8800bb1 17600cz1 |
Quadratic twists by: -4 8 5 |