Atkin-Lehner |
2- 3- 5- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
91140r |
Isogeny class |
Conductor |
91140 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
324000 |
Modular degree for the optimal curve |
Δ |
-436335745224960 = -1 · 28 · 35 · 5 · 72 · 315 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16340,-1292460] |
[a1,a2,a3,a4,a6] |
Generators |
[8119:731520:1] |
Generators of the group modulo torsion |
j |
-38465413171024/34784418465 |
j-invariant |
L |
7.8282330368997 |
L(r)(E,1)/r! |
Ω |
0.20350129819824 |
Real period |
R |
7.6935460320774 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001344 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91140a1 |
Quadratic twists by: -7 |