Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498s |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
132096 |
Modular degree for the optimal curve |
Δ |
-320593760298 = -1 · 2 · 37 · 77 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 6 -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,432,26914] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-232:1] |
Generators of the group modulo torsion |
j |
103823/3738 |
j-invariant |
L |
4.0578784699091 |
L(r)(E,1)/r! |
Ω |
0.72942538127116 |
Real period |
R |
0.69538957910069 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974593 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26166s1 11214h1 |
Quadratic twists by: -3 -7 |