Atkin-Lehner |
3- 5- 23+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
125925be |
Isogeny class |
Conductor |
125925 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
91392 |
Modular degree for the optimal curve |
Δ |
2294983125 = 37 · 54 · 23 · 73 |
Discriminant |
Eigenvalues |
-2 3- 5- -3 -2 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-708,6644] |
[a1,a2,a3,a4,a6] |
Generators |
[3:67:1] [-27:82:1] |
Generators of the group modulo torsion |
j |
62886400000/3671973 |
j-invariant |
L |
7.1830911663713 |
L(r)(E,1)/r! |
Ω |
1.4343543576855 |
Real period |
R |
0.23847102944915 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125925j1 |
Quadratic twists by: 5 |