Atkin-Lehner |
3- 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37107l |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-105202784370159 = -1 · 312 · 72 · 194 · 31 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3344,499898] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:469:1] |
Generators of the group modulo torsion |
j |
-5671177348537/144311089671 |
j-invariant |
L |
3.8904904582037 |
L(r)(E,1)/r! |
Ω |
0.49898659089016 |
Real period |
R |
3.8983917897092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12369i1 |
Quadratic twists by: -3 |