Atkin-Lehner |
2- 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
74340m |
Isogeny class |
Conductor |
74340 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-22737335040 = -1 · 28 · 36 · 5 · 7 · 592 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2208,-40588] |
[a1,a2,a3,a4,a6] |
j |
-6379012096/121835 |
j-invariant |
L |
0.69567758660912 |
L(r)(E,1)/r! |
Ω |
0.34783879431824 |
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 |
8260d1 |
Quadratic twists by: -3 |