Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ij |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-6384953203196166144 = -1 · 234 · 35 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61217,121692255] |
[a1,a2,a3,a4,a6] |
Generators |
[-1846:88935:8] |
Generators of the group modulo torsion |
j |
-822656953/207028224 |
j-invariant |
L |
10.218403976844 |
L(r)(E,1)/r! |
Ω |
0.19382265347218 |
Real period |
R |
5.2720380380908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999602232 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304by1 30576br1 2496u1 |
Quadratic twists by: -4 8 -7 |