Atkin-Lehner |
3- 5- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
7215h |
Isogeny class |
Conductor |
7215 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
26205364013765625 = 320 · 56 · 13 · 37 |
Discriminant |
Eigenvalues |
1 3- 5- 2 -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-136893,17859931] |
[a1,a2,a3,a4,a6] |
Generators |
[485:7857:1] |
Generators of the group modulo torsion |
j |
283702311983803333321/26205364013765625 |
j-invariant |
L |
6.3704580897052 |
L(r)(E,1)/r! |
Ω |
0.36623078360558 |
Real period |
R |
0.5798218295567 |
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 |
115440bx1 21645c1 36075e1 93795u1 |
Quadratic twists by: -4 -3 5 13 |