Atkin-Lehner |
2+ 3+ 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7770h |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-6853140 = -1 · 22 · 33 · 5 · 73 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 3 6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-192,-1116] |
[a1,a2,a3,a4,a6] |
j |
-789145184521/6853140 |
j-invariant |
L |
1.281017503069 |
L(r)(E,1)/r! |
Ω |
0.64050875153448 |
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 |
62160cx1 23310bk1 38850cu1 54390r1 |
Quadratic twists by: -4 -3 5 -7 |