Atkin-Lehner |
2+ 3+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
120768v |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52224 |
Modular degree for the optimal curve |
Δ |
-2225995776 = -1 · 217 · 33 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 0 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,2241] |
[a1,a2,a3,a4,a6] |
Generators |
[1:48:1] |
Generators of the group modulo torsion |
j |
207646/16983 |
j-invariant |
L |
5.0704291324854 |
L(r)(E,1)/r! |
Ω |
1.1172421757117 |
Real period |
R |
1.1345859589628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999826273 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120768dx1 15096i1 |
Quadratic twists by: -4 8 |