Atkin-Lehner |
2- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
58100f |
Isogeny class |
Conductor |
58100 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
155450880 |
Modular degree for the optimal curve |
Δ |
-3.8946875051123E+27 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -5 3 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-243356718533,-46207650625698937] |
[a1,a2,a3,a4,a6] |
Generators |
[223139599867869:62031948010156250:368601813] |
Generators of the group modulo torsion |
j |
-398468268581709081893430156918784/973671876278076171875 |
j-invariant |
L |
6.8312950920378 |
L(r)(E,1)/r! |
Ω |
0.0033986678539263 |
Real period |
R |
16.749933075852 |
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 |
11620b1 |
Quadratic twists by: 5 |