Atkin-Lehner |
2+ 3+ 7+ 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
113526b |
Isogeny class |
Conductor |
113526 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4093632 |
Modular degree for the optimal curve |
Δ |
-1.474680530574E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 5 -1 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2438898,1478222036] |
[a1,a2,a3,a4,a6] |
Generators |
[229:30409:1] |
Generators of the group modulo torsion |
j |
-81510476595621158259/749215328239616 |
j-invariant |
L |
4.7872132385386 |
L(r)(E,1)/r! |
Ω |
0.22299308911963 |
Real period |
R |
3.5779982271036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999443938 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
113526s1 |
Quadratic twists by: -3 |