Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672de |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-33204892205056 = -1 · 217 · 117 · 13 |
Discriminant |
Eigenvalues |
2- 2 -3 1 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-69857,7135361] |
[a1,a2,a3,a4,a6] |
Generators |
[136:363:1] |
Generators of the group modulo torsion |
j |
-162365474/143 |
j-invariant |
L |
7.278535161422 |
L(r)(E,1)/r! |
Ω |
0.65163633231314 |
Real period |
R |
1.3962034480866 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001213 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100672w1 25168k1 9152x1 |
Quadratic twists by: -4 8 -11 |