Atkin-Lehner |
2- 3- 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810cw |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
280 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
1484673306117120 = 210 · 37 · 5 · 78 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-253086,48949956] |
[a1,a2,a3,a4,a6] |
Generators |
[228:1650:1] |
Generators of the group modulo torsion |
j |
15238420194810961/12619514880 |
j-invariant |
L |
9.8152643684957 |
L(r)(E,1)/r! |
Ω |
0.47441661387174 |
Real period |
R |
0.29555892080329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101430bz1 4830x1 |
Quadratic twists by: -3 -7 |