Atkin-Lehner |
2- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
29680i |
Isogeny class |
Conductor |
29680 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
239040 |
Modular degree for the optimal curve |
Δ |
-476821014393731840 = -1 · 28 · 5 · 75 · 536 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-201621,-48078359] |
[a1,a2,a3,a4,a6] |
Generators |
[5533:410114:1] |
Generators of the group modulo torsion |
j |
-3540733125883592704/1862582087475515 |
j-invariant |
L |
3.5357095314479 |
L(r)(E,1)/r! |
Ω |
0.10993531943514 |
Real period |
R |
2.6801437651511 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7420c1 118720w1 |
Quadratic twists by: -4 8 |