Atkin-Lehner |
3+ 7- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
117453f |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
-310785765880527 = -1 · 34 · 710 · 172 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- 0 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,6663,824718] |
[a1,a2,a3,a4,a6] |
Generators |
[496:10997:1] |
Generators of the group modulo torsion |
j |
278061485183/2641635423 |
j-invariant |
L |
2.9952143821575 |
L(r)(E,1)/r! |
Ω |
0.39941540198275 |
Real period |
R |
1.8747488769249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000025702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779m1 |
Quadratic twists by: -7 |