Atkin-Lehner |
2+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
68672a |
Isogeny class |
Conductor |
68672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
599040 |
Modular degree for the optimal curve |
Δ |
-8962668228509696 = -1 · 228 · 293 · 372 |
Discriminant |
Eigenvalues |
2+ 1 1 0 -5 3 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-956065,359525311] |
[a1,a2,a3,a4,a6] |
Generators |
[4170:14023:8] |
Generators of the group modulo torsion |
j |
-368677389247668649/34189865984 |
j-invariant |
L |
7.7366832966489 |
L(r)(E,1)/r! |
Ω |
0.39349393267584 |
Real period |
R |
4.9153764860535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000428 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68672q1 2146b1 |
Quadratic twists by: -4 8 |