Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7215i |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
974025 = 34 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- -2 2 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-248,-1519] |
[a1,a2,a3,a4,a6] |
Generators |
[27:94:1] |
Generators of the group modulo torsion |
j |
1677100110841/974025 |
j-invariant |
L |
5.9931308476423 |
L(r)(E,1)/r! |
Ω |
1.2036819675367 |
Real period |
R |
2.4894993068256 |
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 |
115440bw1 21645d1 36075d1 93795t1 |
Quadratic twists by: -4 -3 5 13 |