Atkin-Lehner |
3- 5- 43+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
90945f |
Isogeny class |
Conductor |
90945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
-243441291796875 = -1 · 38 · 58 · 43 · 472 |
Discriminant |
Eigenvalues |
0 3- 5- -4 1 1 -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-146442,21582882] |
[a1,a2,a3,a4,a6] |
Generators |
[242:-563:1] [222:117:1] |
Generators of the group modulo torsion |
j |
-476423459541581824/333938671875 |
j-invariant |
L |
8.9961041535489 |
L(r)(E,1)/r! |
Ω |
0.55042380434707 |
Real period |
R |
0.51074872228287 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30315b1 |
Quadratic twists by: -3 |