Atkin-Lehner |
2- 3+ 5+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bo |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-15953004645580800 = -1 · 224 · 34 · 52 · 73 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-353326,80918123] |
[a1,a2,a3,a4,a6] |
Generators |
[497:-5577:1] [-539:10999:1] |
Generators of the group modulo torsion |
j |
-14221861969864791943/46510217625600 |
j-invariant |
L |
11.624482670065 |
L(r)(E,1)/r! |
Ω |
0.3936396619479 |
Real period |
R |
0.30761219676721 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54390dd1 |
Quadratic twists by: -7 |