Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
74550ce |
Isogeny class |
Conductor |
74550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
45387903750000 = 24 · 3 · 57 · 74 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-30188,-2005219] |
[a1,a2,a3,a4,a6] |
Generators |
[-109:125:1] |
Generators of the group modulo torsion |
j |
194718676594681/2904825840 |
j-invariant |
L |
9.7374336031285 |
L(r)(E,1)/r! |
Ω |
0.36252114936598 |
Real period |
R |
1.678769918423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999974989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910v2 |
Quadratic twists by: 5 |