Atkin-Lehner |
2- 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
93248bd |
Isogeny class |
Conductor |
93248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-154900593664 = -1 · 210 · 31 · 474 |
Discriminant |
Eigenvalues |
2- -2 -1 1 2 2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,519,-18209] |
[a1,a2,a3,a4,a6] |
Generators |
[178:2397:1] |
Generators of the group modulo torsion |
j |
15069150464/151270111 |
j-invariant |
L |
4.8303651114748 |
L(r)(E,1)/r! |
Ω |
0.50618143634823 |
Real period |
R |
2.3856885871858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017617 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93248m1 23312l1 |
Quadratic twists by: -4 8 |