Atkin-Lehner |
2+ 3+ 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
112530j |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-7117423473600 = -1 · 26 · 34 · 52 · 116 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11- 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4717,-28563] |
[a1,a2,a3,a4,a6] |
Generators |
[11:152:1] |
Generators of the group modulo torsion |
j |
6549699311/4017600 |
j-invariant |
L |
4.1048952372674 |
L(r)(E,1)/r! |
Ω |
0.43149553335108 |
Real period |
R |
2.3782953301143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999744968 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
930m1 |
Quadratic twists by: -11 |