Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
51842d |
Isogeny class |
Conductor |
51842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
760320 |
Modular degree for the optimal curve |
Δ |
-410188092430441472 = -1 · 210 · 76 · 237 |
Discriminant |
Eigenvalues |
2+ 0 4 7- -2 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-264070,-60576972] |
[a1,a2,a3,a4,a6] |
Generators |
[90750850323433505:-2320089871829730967:93855196496125] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
5.5527784784886 |
L(r)(E,1)/r! |
Ω |
0.10417308153213 |
Real period |
R |
26.651695412853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1058a1 2254c1 |
Quadratic twists by: -7 -23 |