Atkin-Lehner |
2- 3- 5- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920eu |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-113224691220480000 = -1 · 226 · 36 · 54 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-128187,-23961366] |
[a1,a2,a3,a4,a6] |
Generators |
[438:1980:1] |
Generators of the group modulo torsion |
j |
-78013216986489/37918720000 |
j-invariant |
L |
8.2593278989425 |
L(r)(E,1)/r! |
Ω |
0.12329923796613 |
Real period |
R |
4.186627595678 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028842 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14490bx1 12880s1 |
Quadratic twists by: -4 -3 |