Atkin-Lehner |
2+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
37210a |
Isogeny class |
Conductor |
37210 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4567680 |
Modular degree for the optimal curve |
Δ |
-1.5704663080737E+21 |
Discriminant |
Eigenvalues |
2+ 3 5+ 0 2 4 -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1943525,-1596651739] |
[a1,a2,a3,a4,a6] |
Generators |
[23943939482658:10251469978968431:130323843] |
Generators of the group modulo torsion |
j |
4235018391/8192000 |
j-invariant |
L |
7.6955426725479 |
L(r)(E,1)/r! |
Ω |
0.078549519980385 |
Real period |
R |
16.328431360815 |
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 |
37210d1 |
Quadratic twists by: 61 |