Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
29070bc |
Isogeny class |
Conductor |
29070 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
5.87544793344E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1070303,213893831] |
[a1,a2,a3,a4,a6] |
Generators |
[-335:23292:1] |
Generators of the group modulo torsion |
j |
186001322269702352041/80595993600000000 |
j-invariant |
L |
9.3441176582117 |
L(r)(E,1)/r! |
Ω |
0.17825285082256 |
Real period |
R |
3.2762861908985 |
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 |
9690n1 |
Quadratic twists by: -3 |