Atkin-Lehner |
3+ 5+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
109395c |
Isogeny class |
Conductor |
109395 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
123264 |
Modular degree for the optimal curve |
Δ |
-65792887875 = -1 · 39 · 53 · 112 · 13 · 17 |
Discriminant |
Eigenvalues |
2 3+ 5+ 0 11- 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-243,-12427] |
[a1,a2,a3,a4,a6] |
Generators |
[22728:129533:512] |
Generators of the group modulo torsion |
j |
-80621568/3342625 |
j-invariant |
L |
12.746223025586 |
L(r)(E,1)/r! |
Ω |
0.48161740801511 |
Real period |
R |
6.6163633201385 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011502 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109395d1 |
Quadratic twists by: -3 |