Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35972b |
Isogeny class |
Conductor |
35972 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
100224 |
Modular degree for the optimal curve |
Δ |
-5983385641216 = -1 · 28 · 174 · 234 |
Discriminant |
Eigenvalues |
2- -2 -3 4 -2 -7 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2292,-125804] |
[a1,a2,a3,a4,a6] |
Generators |
[810:6647:8] |
Generators of the group modulo torsion |
j |
-18595408/83521 |
j-invariant |
L |
2.6089865628995 |
L(r)(E,1)/r! |
Ω |
0.31308061604462 |
Real period |
R |
1.3888790028278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35972e1 |
Quadratic twists by: -23 |