Atkin-Lehner |
3- 7- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37107l |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
940830124250583 = 318 · 7 · 192 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 7- -6 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-117059,15373820] |
[a1,a2,a3,a4,a6] |
Generators |
[-360:3460:1] |
Generators of the group modulo torsion |
j |
243336431492632297/1290576302127 |
j-invariant |
L |
3.8904904582037 |
L(r)(E,1)/r! |
Ω |
0.49898659089016 |
Real period |
R |
1.9491958948546 |
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 |
12369i2 |
Quadratic twists by: -3 |