Atkin-Lehner |
2+ 3+ 5+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
40470l |
Isogeny class |
Conductor |
40470 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
-5.5553965542033E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 0 6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,1712122,-3480117228] |
[a1,a2,a3,a4,a6] |
Generators |
[793611:-39315207:343] |
Generators of the group modulo torsion |
j |
555044034321879727479191/5555396554203332459520 |
j-invariant |
L |
3.9686266690584 |
L(r)(E,1)/r! |
Ω |
0.066800903252536 |
Real period |
R |
9.9016292590432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
121410bm1 |
Quadratic twists by: -3 |