Atkin-Lehner |
2+ 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
8034b |
Isogeny class |
Conductor |
8034 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
-431809118208 = -1 · 214 · 39 · 13 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -3 -5 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,620,31312] |
[a1,a2,a3,a4,a6] |
Generators |
[8:188:1] |
Generators of the group modulo torsion |
j |
26290801640375/431809118208 |
j-invariant |
L |
2.1348560444976 |
L(r)(E,1)/r! |
Ω |
0.70061733848458 |
Real period |
R |
1.5235535343125 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64272y1 24102bf1 104442ba1 |
Quadratic twists by: -4 -3 13 |