Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41004c |
Isogeny class |
Conductor |
41004 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
615600 |
Modular degree for the optimal curve |
Δ |
-1482800038846200576 = -1 · 28 · 36 · 179 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -5 0 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15456,-58591420] |
[a1,a2,a3,a4,a6] |
Generators |
[1772:74014:1] |
Generators of the group modulo torsion |
j |
-2188001148928/7945387725299 |
j-invariant |
L |
2.4473584799417 |
L(r)(E,1)/r! |
Ω |
0.12193988463943 |
Real period |
R |
6.6900683266414 |
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 |
4556b1 |
Quadratic twists by: -3 |