Atkin-Lehner |
2+ 3+ 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
90846c |
Isogeny class |
Conductor |
90846 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
-5501997144 = -1 · 23 · 33 · 74 · 1032 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ -1 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,285,-3123] |
[a1,a2,a3,a4,a6] |
Generators |
[9:6:1] [13:45:1] |
Generators of the group modulo torsion |
j |
39413493/84872 |
j-invariant |
L |
8.1711108129162 |
L(r)(E,1)/r! |
Ω |
0.70395857685164 |
Real period |
R |
0.96728120585926 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997698 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90846cf1 90846i1 |
Quadratic twists by: -3 -7 |