Atkin-Lehner |
2+ 3+ 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
74550w |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-17832592968750 = -1 · 2 · 38 · 58 · 72 · 71 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -3 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-508700,-139862250] |
[a1,a2,a3,a4,a6] |
Generators |
[993955:87773299:125] |
Generators of the group modulo torsion |
j |
-37269213195184105/45651438 |
j-invariant |
L |
3.2465155308697 |
L(r)(E,1)/r! |
Ω |
0.089382805414011 |
Real period |
R |
9.0803693054787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999812 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74550dl1 |
Quadratic twists by: 5 |