Atkin-Lehner |
2+ 5- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
90650bg |
Isogeny class |
Conductor |
90650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8478720 |
Modular degree for the optimal curve |
Δ |
-5.277662609408E+20 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -1 -2 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3803242,-3060371084] |
[a1,a2,a3,a4,a6] |
Generators |
[48253:10566513:1] |
Generators of the group modulo torsion |
j |
-132384574175625/11484004352 |
j-invariant |
L |
1.5181519238189 |
L(r)(E,1)/r! |
Ω |
0.053788002285715 |
Real period |
R |
7.0561828870153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90650ct1 1850d1 |
Quadratic twists by: 5 -7 |