Atkin-Lehner |
2+ 7+ 17+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
117334b |
Isogeny class |
Conductor |
117334 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2414592 |
Modular degree for the optimal curve |
Δ |
-138146979561581788 = -1 · 22 · 7 · 178 · 294 |
Discriminant |
Eigenvalues |
2+ 2 -4 7+ -4 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-149852,-28668580] |
[a1,a2,a3,a4,a6] |
Generators |
[53941767944640:13292181439599157:884736000] |
Generators of the group modulo torsion |
j |
-15417797707369/5723317852 |
j-invariant |
L |
4.4205955570239 |
L(r)(E,1)/r! |
Ω |
0.11911939904853 |
Real period |
R |
18.55531360734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998753495 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6902b1 |
Quadratic twists by: 17 |