Atkin-Lehner |
2- 5+ 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
35150q |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-733591484375000 = -1 · 23 · 510 · 193 · 372 |
Discriminant |
Eigenvalues |
2- 1 5+ -3 4 -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,19937,725617] |
[a1,a2,a3,a4,a6] |
j |
56089523591639/46949855000 |
j-invariant |
L |
3.9375605463094 |
L(r)(E,1)/r! |
Ω |
0.32813004552585 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7030c1 |
Quadratic twists by: 5 |