Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498t |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-31265524813824 = -1 · 212 · 36 · 76 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- 6 -2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2637,-264587] |
[a1,a2,a3,a4,a6] |
Generators |
[51:-1:1] |
Generators of the group modulo torsion |
j |
23639903/364544 |
j-invariant |
L |
6.8973617786805 |
L(r)(E,1)/r! |
Ω |
0.3220950269704 |
Real period |
R |
2.6767573230227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002121 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8722o1 1602b1 |
Quadratic twists by: -3 -7 |