Atkin-Lehner |
2+ 3+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
24240b |
Isogeny class |
Conductor |
24240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
163620000000 = 28 · 34 · 57 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -2 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2630196,-1640961504] |
[a1,a2,a3,a4,a6] |
Generators |
[35731298733872641288605:-4779567733174675691618466:1980159723271834021] |
Generators of the group modulo torsion |
j |
7860465226760390503504/639140625 |
j-invariant |
L |
4.3672773636773 |
L(r)(E,1)/r! |
Ω |
0.11855026051529 |
Real period |
R |
36.839036411178 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12120o1 96960ec1 72720u1 121200bd1 |
Quadratic twists by: -4 8 -3 5 |