Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7215i |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1301405625 = -1 · 32 · 54 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- -2 2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-203,-2077] |
[a1,a2,a3,a4,a6] |
Generators |
[27:97:1] |
Generators of the group modulo torsion |
j |
-918613512361/1301405625 |
j-invariant |
L |
5.9931308476423 |
L(r)(E,1)/r! |
Ω |
0.60184098376837 |
Real period |
R |
1.2447496534128 |
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 |
115440bw2 21645d2 36075d2 93795t2 |
Quadratic twists by: -4 -3 5 13 |