Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968g |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
7461974016 = 212 · 37 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- 2 -1 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1521,-21951] |
[a1,a2,a3,a4,a6] |
j |
1940174656/37179 |
j-invariant |
L |
1.5306608120236 |
L(r)(E,1)/r! |
Ω |
0.76533040049779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79968ck1 79968s1 |
Quadratic twists by: -4 -7 |