Atkin-Lehner |
2- 5+ 19- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35150w |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
913920 |
Modular degree for the optimal curve |
Δ |
-7937927246093750 = -1 · 2 · 516 · 19 · 372 |
Discriminant |
Eigenvalues |
2- 3 5+ -5 -6 1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5370,-4285253] |
[a1,a2,a3,a4,a6] |
Generators |
[3594694842:-544919468075:157464] |
Generators of the group modulo torsion |
j |
1096231710231/508027343750 |
j-invariant |
L |
12.615323010929 |
L(r)(E,1)/r! |
Ω |
0.19452999762524 |
Real period |
R |
16.212567682277 |
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 |
7030b1 |
Quadratic twists by: 5 |