Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
7770bc |
Isogeny class |
Conductor |
7770 |
Conductor |
∏ cp |
1300 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-1353087900057600000 = -1 · 220 · 313 · 55 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-281490,80204292] |
[a1,a2,a3,a4,a6] |
Generators |
[2244:-104802:1] |
Generators of the group modulo torsion |
j |
-2466679483983582473761/1353087900057600000 |
j-invariant |
L |
7.4292057527616 |
L(r)(E,1)/r! |
Ω |
0.25155767343026 |
Real period |
R |
0.022717548536855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
62160bw1 23310j1 38850j1 54390bp1 |
Quadratic twists by: -4 -3 5 -7 |