Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
125235bs |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1402368 |
Modular degree for the optimal curve |
Δ |
-19570175922823515 = -1 · 38 · 5 · 1110 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 5 11- -4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-134514,-20112845] |
[a1,a2,a3,a4,a6] |
Generators |
[45930593830811337539802391322:443700272441308486889628140057:96560746527806209864426303] |
Generators of the group modulo torsion |
j |
-14235529/1035 |
j-invariant |
L |
11.252355975228 |
L(r)(E,1)/r! |
Ω |
0.12412653029624 |
Real period |
R |
45.326152065852 |
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 |
41745f1 125235bx1 |
Quadratic twists by: -3 -11 |