Atkin-Lehner |
2- 3- 7- 11- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
36498bm |
Isogeny class |
Conductor |
36498 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
18654273792 = 28 · 32 · 7 · 114 · 79 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-749,4305] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:103:1] |
Generators of the group modulo torsion |
j |
46473502468177/18654273792 |
j-invariant |
L |
9.7296145488656 |
L(r)(E,1)/r! |
Ω |
1.1110910890713 |
Real period |
R |
0.54730068064213 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109494n1 |
Quadratic twists by: -3 |