Atkin-Lehner |
3+ 5- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
74025k |
Isogeny class |
Conductor |
74025 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
118080 |
Modular degree for the optimal curve |
Δ |
-170026171875 = -1 · 33 · 58 · 73 · 47 |
Discriminant |
Eigenvalues |
0 3+ 5- 7- -3 5 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19500,1048281] |
[a1,a2,a3,a4,a6] |
Generators |
[642:115:8] |
Generators of the group modulo torsion |
j |
-77750599680/16121 |
j-invariant |
L |
6.1881122056103 |
L(r)(E,1)/r! |
Ω |
0.98950363487717 |
Real period |
R |
3.1268769456621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999976049 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
74025l2 74025b1 |
Quadratic twists by: -3 5 |