Atkin-Lehner |
2+ 3- 5- 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15330k |
Isogeny class |
Conductor |
15330 |
Conductor |
∏ cp |
308 |
Product of Tamagawa factors cp |
deg |
17696448 |
Modular degree for the optimal curve |
Δ |
-6.1440407859392E+28 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -2 3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,636037042,10203189511268] |
[a1,a2,a3,a4,a6] |
Generators |
[42039:-10567895:1] |
Generators of the group modulo torsion |
j |
28455809224686390091585605073319/61440407859392166137695312500 |
j-invariant |
L |
4.6483914582541 |
L(r)(E,1)/r! |
Ω |
0.024302282710683 |
Real period |
R |
0.62101903096667 |
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 |
122640bp1 45990bt1 76650cb1 107310m1 |
Quadratic twists by: -4 -3 5 -7 |