Atkin-Lehner |
7- 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
77959c |
Isogeny class |
Conductor |
77959 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
-12805515169867 = -1 · 76 · 372 · 433 |
Discriminant |
Eigenvalues |
-2 0 2 7- -5 -1 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3479,-189422] |
[a1,a2,a3,a4,a6] |
Generators |
[106:795:1] |
Generators of the group modulo torsion |
j |
-39582093312/108845083 |
j-invariant |
L |
2.3740773907529 |
L(r)(E,1)/r! |
Ω |
0.28837499628814 |
Real period |
R |
0.68605040323343 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003883 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1591a1 |
Quadratic twists by: -7 |