Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
103968bh |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1167360 |
Modular degree for the optimal curve |
Δ |
406493565144579648 = 26 · 39 · 199 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-514425,138661544] |
[a1,a2,a3,a4,a6] |
Generators |
[1655239:9307132:4913] |
Generators of the group modulo torsion |
j |
1000000/27 |
j-invariant |
L |
6.7181256714049 |
L(r)(E,1)/r! |
Ω |
0.29837509506942 |
Real period |
R |
11.257852589294 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999973039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
103968bi1 34656a1 103968f1 |
Quadratic twists by: -4 -3 -19 |