Atkin-Lehner |
3- 5- 7- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
75705w |
Isogeny class |
Conductor |
75705 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
68127510290666505 = 3 · 5 · 79 · 1034 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1355390,-607340805] |
[a1,a2,a3,a4,a6] |
j |
2340606050777041489/579074282745 |
j-invariant |
L |
2.2387722796376 |
L(r)(E,1)/r! |
Ω |
0.13992326531901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10815b3 |
Quadratic twists by: -7 |