Atkin-Lehner |
2+ 3+ 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
127650a |
Isogeny class |
Conductor |
127650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14515200 |
Modular degree for the optimal curve |
Δ |
-2.9674885253906E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 1 -6 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-45008500,-116270726000] |
[a1,a2,a3,a4,a6] |
Generators |
[215139943723045982880:45824096973191264762060:4616835877167697] |
Generators of the group modulo torsion |
j |
-645338119885238134244161/189919265625000000 |
j-invariant |
L |
3.7566477642793 |
L(r)(E,1)/r! |
Ω |
0.029143268378359 |
Real period |
R |
32.225690299281 |
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 |
25530bm1 |
Quadratic twists by: 5 |