Atkin-Lehner |
5+ 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11305b |
Isogeny class |
Conductor |
11305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
128880 |
Modular degree for the optimal curve |
Δ |
-67209510367195 = -1 · 5 · 75 · 17 · 196 |
Discriminant |
Eigenvalues |
-2 -2 5+ 7+ 0 -3 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-674296,212895650] |
[a1,a2,a3,a4,a6] |
Generators |
[562:3429:1] |
Generators of the group modulo torsion |
j |
-33905964767714432487424/67209510367195 |
j-invariant |
L |
1.0013319435454 |
L(r)(E,1)/r! |
Ω |
0.53135396199361 |
Real period |
R |
0.94224567347579 |
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 |
101745bc1 56525t1 79135bf1 |
Quadratic twists by: -3 5 -7 |