Atkin-Lehner |
2+ 3- 5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050bd |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1607040 |
Modular degree for the optimal curve |
Δ |
-1244782080000000000 = -1 · 218 · 36 · 510 · 23 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -3 -5 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,78424,53015798] |
[a1,a2,a3,a4,a6] |
Generators |
[-279:3211:1] |
Generators of the group modulo torsion |
j |
5462338354175/127465684992 |
j-invariant |
L |
5.785449784374 |
L(r)(E,1)/r! |
Ω |
0.20436455935846 |
Real period |
R |
2.3591214414764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000031197 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100050ca1 |
Quadratic twists by: 5 |