Atkin-Lehner |
3- 5+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74025m |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
1067163629150390625 = 312 · 514 · 7 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1171130,-484984128] |
[a1,a2,a3,a4,a6] |
Generators |
[314454100:-79699407117:4913] |
Generators of the group modulo torsion |
j |
15595206456730321/93687890625 |
j-invariant |
L |
4.5424431560615 |
L(r)(E,1)/r! |
Ω |
0.14517955027589 |
Real period |
R |
15.644225196947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24675k1 14805e1 |
Quadratic twists by: -3 5 |