Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1974c |
Isogeny class |
Conductor |
1974 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-1031937967872 = -1 · 28 · 36 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1116,50842] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:198:1] |
Generators of the group modulo torsion |
j |
-153517103853625/1031937967872 |
j-invariant |
L |
2.6135596215192 |
L(r)(E,1)/r! |
Ω |
0.75394119551055 |
Real period |
R |
1.7332648998901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
15792r1 63168s1 5922q1 49350bq1 |
Quadratic twists by: -4 8 -3 5 |