Atkin-Lehner |
3- 5+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
65415n |
Isogeny class |
Conductor |
65415 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
71280 |
Modular degree for the optimal curve |
Δ |
-638818359375 = -1 · 3 · 511 · 72 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 -3 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2819,69017] |
[a1,a2,a3,a4,a6] |
Generators |
[36223:130947:1331] |
Generators of the group modulo torsion |
j |
-50534896431481/13037109375 |
j-invariant |
L |
7.4757043724246 |
L(r)(E,1)/r! |
Ω |
0.86728068087136 |
Real period |
R |
8.6197058657429 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000364 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65415f1 |
Quadratic twists by: -7 |