Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530bw |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
49762944 |
Modular degree for the optimal curve |
Δ |
-2.3599195559994E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11+ -3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-182387235,2522147401665] |
[a1,a2,a3,a4,a6] |
Generators |
[23403:3315798:1] |
Generators of the group modulo torsion |
j |
-284559352671333864851/1000836263250000000 |
j-invariant |
L |
10.048488803231 |
L(r)(E,1)/r! |
Ω |
0.040254511165813 |
Real period |
R |
1.9811422087721 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112530l1 |
Quadratic twists by: -11 |