Atkin-Lehner |
3- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37107i |
Isogeny class |
Conductor |
37107 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-3005667 = -1 · 36 · 7 · 19 · 31 |
Discriminant |
Eigenvalues |
0 3- 2 7+ 2 -2 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,36,-7] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
7077888/4123 |
j-invariant |
L |
5.5727103370713 |
L(r)(E,1)/r! |
Ω |
1.4969801132387 |
Real period |
R |
1.8613174242554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4123a1 |
Quadratic twists by: -3 |