Atkin-Lehner |
2+ 3- 5- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
18270x |
Isogeny class |
Conductor |
18270 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
1653760 |
Modular degree for the optimal curve |
Δ |
-5.735708473727E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- -3 5 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46484109,-121973488385] |
[a1,a2,a3,a4,a6] |
j |
-15237359766831865024183249/78679128583361250 |
j-invariant |
L |
2.3127744628072 |
L(r)(E,1)/r! |
Ω |
0.02890968078509 |
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 |
6090t1 91350dz1 127890bo1 |
Quadratic twists by: -3 5 -7 |