Atkin-Lehner |
3+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
90459h |
Isogeny class |
Conductor |
90459 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
-1861374843 = -1 · 33 · 194 · 232 |
Discriminant |
Eigenvalues |
-2 3+ -2 3 2 1 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-621,-6308] |
[a1,a2,a3,a4,a6] |
Generators |
[70:-542:1] |
Generators of the group modulo torsion |
j |
-1854296064/130321 |
j-invariant |
L |
3.5952298157452 |
L(r)(E,1)/r! |
Ω |
0.4762573954078 |
Real period |
R |
0.94361522262449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999727165 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90459g1 90459d1 |
Quadratic twists by: -3 -23 |