Atkin-Lehner |
2+ 3+ 5+ 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11130b |
Isogeny class |
Conductor |
11130 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-17505976320 = -1 · 220 · 32 · 5 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,7,-6363] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1575:1] |
Generators of the group modulo torsion |
j |
30080231/17505976320 |
j-invariant |
L |
2.8368174427056 |
L(r)(E,1)/r! |
Ω |
0.56523462420545 |
Real period |
R |
5.0188316872721 |
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 |
89040cj1 33390bt1 55650df1 77910bd1 |
Quadratic twists by: -4 -3 5 -7 |