Atkin-Lehner |
2+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35594b |
Isogeny class |
Conductor |
35594 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-40038409216 = -1 · 210 · 134 · 372 |
Discriminant |
Eigenvalues |
2+ 0 -3 0 0 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-386,-9964] |
[a1,a2,a3,a4,a6] |
Generators |
[31:69:1] |
Generators of the group modulo torsion |
j |
-4652805537/29246464 |
j-invariant |
L |
2.4501151053384 |
L(r)(E,1)/r! |
Ω |
0.48054367925264 |
Real period |
R |
1.2746578568829 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35594e1 |
Quadratic twists by: 37 |