Atkin-Lehner |
7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47971i |
Isogeny class |
Conductor |
47971 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-7074791579932753369 = -1 · 76 · 112 · 896 |
Discriminant |
Eigenvalues |
1 -2 2 7- 11- 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-688035,254167211] |
[a1,a2,a3,a4,a6] |
Generators |
[39085220:2675838599:8000] |
Generators of the group modulo torsion |
j |
-306172484303077657/60134736206281 |
j-invariant |
L |
6.0269992293067 |
L(r)(E,1)/r! |
Ω |
0.22623283115613 |
Real period |
R |
13.320346119711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
979b2 |
Quadratic twists by: -7 |