Atkin-Lehner |
3+ 5+ 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
75705f |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-351104875590742875 = -1 · 38 · 53 · 79 · 1032 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,169049,-9780352] |
[a1,a2,a3,a4,a6] |
Generators |
[189:5287:1] |
Generators of the group modulo torsion |
j |
13239726374393/8700706125 |
j-invariant |
L |
2.1535248848254 |
L(r)(E,1)/r! |
Ω |
0.17277722868174 |
Real period |
R |
6.2320853854286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005669 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75705x2 |
Quadratic twists by: -7 |