Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92575w |
Isogeny class |
Conductor |
92575 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2146176 |
Modular degree for the optimal curve |
Δ |
-2098489683701796875 = -1 · 57 · 73 · 238 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- -4 5 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,304175,-26235094] |
[a1,a2,a3,a4,a6] |
Generators |
[2645:138862:1] |
Generators of the group modulo torsion |
j |
2543616/1715 |
j-invariant |
L |
2.6229967044438 |
L(r)(E,1)/r! |
Ω |
0.14821635846188 |
Real period |
R |
0.49158554525764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024334 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18515e1 92575j1 |
Quadratic twists by: 5 -23 |