Atkin-Lehner |
2- 3+ 5- 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
122640bm |
Isogeny class |
Conductor |
122640 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
2741760 |
Modular degree for the optimal curve |
Δ |
-4.9687877374708E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,196420,337418700] |
[a1,a2,a3,a4,a6] |
j |
3273698322664015664/194093270994953925 |
j-invariant |
L |
2.1378767480559 |
L(r)(E,1)/r! |
Ω |
0.15270554689865 |
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 |
30660r1 |
Quadratic twists by: -4 |