Atkin-Lehner |
2+ 3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
116850d |
Isogeny class |
Conductor |
116850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
470016 |
Modular degree for the optimal curve |
Δ |
-129226752000000 = -1 · 217 · 34 · 56 · 19 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -1 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-17575,1043125] |
[a1,a2,a3,a4,a6] |
Generators |
[25:775:1] |
Generators of the group modulo torsion |
j |
-38426275968625/8270512128 |
j-invariant |
L |
4.8506472392397 |
L(r)(E,1)/r! |
Ω |
0.56013661268662 |
Real period |
R |
2.1649393779172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4674g1 |
Quadratic twists by: 5 |