Atkin-Lehner |
3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7215d |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
156168675 = 33 · 52 · 132 · 372 |
Discriminant |
Eigenvalues |
-1 3+ 5- -2 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3610,-84988] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:18:1] |
Generators of the group modulo torsion |
j |
5202988149947041/156168675 |
j-invariant |
L |
2.0946611706445 |
L(r)(E,1)/r! |
Ω |
0.61591801897107 |
Real period |
R |
1.7004382938364 |
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 |
115440db2 21645f2 36075r2 93795c2 |
Quadratic twists by: -4 -3 5 13 |