Atkin-Lehner |
2- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
7280m |
Isogeny class |
Conductor |
7280 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-3149619200 = -1 · 213 · 52 · 7 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 3 13- -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,104,-2704] |
[a1,a2,a3,a4,a6] |
Generators |
[26:130:1] |
Generators of the group modulo torsion |
j |
30080231/768950 |
j-invariant |
L |
2.9680581907668 |
L(r)(E,1)/r! |
Ω |
0.68675618685559 |
Real period |
R |
0.36015428371511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
910b1 29120ca1 65520dx1 36400br1 |
Quadratic twists by: -4 8 -3 5 |