Atkin-Lehner |
3- 5- 13- 37- |
Signs for the Atkin-Lehner involutions |
Class |
7215j |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
83755151778675 = 3 · 52 · 138 · 372 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-548195,-156270138] |
[a1,a2,a3,a4,a6] |
Generators |
[8742:183219:8] |
Generators of the group modulo torsion |
j |
18219186097592883464881/83755151778675 |
j-invariant |
L |
3.1657120415739 |
L(r)(E,1)/r! |
Ω |
0.17545506215777 |
Real period |
R |
2.2553581545621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440cd6 21645h6 36075a6 93795p6 |
Quadratic twists by: -4 -3 5 13 |