Atkin-Lehner |
3- 7- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104811q |
Isogeny class |
Conductor |
104811 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
39076195451645457 = 310 · 79 · 232 · 31 |
Discriminant |
Eigenvalues |
1 3- -2 7- 0 -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-89402,-3932449] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:2560:1] |
Generators of the group modulo torsion |
j |
1958285788831/968344551 |
j-invariant |
L |
5.5676463115871 |
L(r)(E,1)/r! |
Ω |
0.2904617835137 |
Real period |
R |
1.9168257665428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005814 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104811d1 |
Quadratic twists by: -7 |