Atkin-Lehner |
2- 3- 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
85932be |
Isogeny class |
Conductor |
85932 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
-87924962785968 = -1 · 24 · 39 · 74 · 112 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5244,426809] |
[a1,a2,a3,a4,a6] |
Generators |
[164:-2387:1] [-41:378:1] |
Generators of the group modulo torsion |
j |
1367301373952/7538148387 |
j-invariant |
L |
9.8175585693438 |
L(r)(E,1)/r! |
Ω |
0.4363540456463 |
Real period |
R |
0.46873054629388 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000065 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28644i1 |
Quadratic twists by: -3 |