Atkin-Lehner |
3+ 5+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
74175m |
Isogeny class |
Conductor |
74175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
139968 |
Modular degree for the optimal curve |
Δ |
-1971525140625 = -1 · 3 · 56 · 232 · 433 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -1 -5 -3 -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7038,234156] |
[a1,a2,a3,a4,a6] |
Generators |
[84:452:1] |
Generators of the group modulo torsion |
j |
-2467489596697/126177609 |
j-invariant |
L |
1.7578662457552 |
L(r)(E,1)/r! |
Ω |
0.8203228007684 |
Real period |
R |
0.35714929219226 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2967b1 |
Quadratic twists by: 5 |