Atkin-Lehner |
2- 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7380f |
Isogeny class |
Conductor |
7380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
-3502617187500000000 = -1 · 28 · 37 · 516 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -3 -4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16837248,26592383572] |
[a1,a2,a3,a4,a6] |
j |
-2828587024520876916736/18768310546875 |
j-invariant |
L |
1.7869495785232 |
L(r)(E,1)/r! |
Ω |
0.2233686973154 |
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 |
29520bt1 118080cx1 2460d1 36900n1 |
Quadratic twists by: -4 8 -3 5 |