Atkin-Lehner |
3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
11025z |
Isogeny class |
Conductor |
11025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
542738734453125 = 310 · 57 · 76 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-23814230,-44724460728] |
[a1,a2,a3,a4,a6] |
Generators |
[-1553333298:777986915:551368] |
Generators of the group modulo torsion |
j |
1114544804970241/405 |
j-invariant |
L |
2.8626363414088 |
L(r)(E,1)/r! |
Ω |
0.068342430559216 |
Real period |
R |
10.471665691376 |
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 |
3675e7 2205j7 225c7 |
Quadratic twists by: -3 5 -7 |