Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7215h |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
Δ |
-3335360275634765625 = -1 · 310 · 512 · 132 · 372 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,158352,84467203] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:8370:1] |
Generators of the group modulo torsion |
j |
439135263576766951559/3335360275634765625 |
j-invariant |
L |
6.3704580897052 |
L(r)(E,1)/r! |
Ω |
0.18311539180279 |
Real period |
R |
0.28991091477835 |
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 |
115440bx2 21645c2 36075e2 93795u2 |
Quadratic twists by: -4 -3 5 13 |