Atkin-Lehner |
2- 7- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296v |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-122912145664 = -1 · 28 · 77 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11+ 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3316,76524] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:294:1] |
Generators of the group modulo torsion |
j |
-15756446357584/480125569 |
j-invariant |
L |
9.3246506266288 |
L(r)(E,1)/r! |
Ω |
1.0415582606872 |
Real period |
R |
1.2789423280389 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16324b1 |
Quadratic twists by: -4 |