Atkin-Lehner |
2+ 3+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
78498h |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
99840 |
Modular degree for the optimal curve |
Δ |
-63327162528 = -1 · 25 · 33 · 77 · 89 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 4 -4 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7212,-234256] |
[a1,a2,a3,a4,a6] |
Generators |
[121:748:1] |
Generators of the group modulo torsion |
j |
-13060888875/19936 |
j-invariant |
L |
4.4609427623311 |
L(r)(E,1)/r! |
Ω |
0.25900793598292 |
Real period |
R |
2.1528986869749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999582 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498bf1 11214a1 |
Quadratic twists by: -3 -7 |