Atkin-Lehner |
2- 5- 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35150bb |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-17575000000 = -1 · 26 · 58 · 19 · 37 |
Discriminant |
Eigenvalues |
2- 2 5- 1 -5 3 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1013,13531] |
[a1,a2,a3,a4,a6] |
Generators |
[35:132:1] |
Generators of the group modulo torsion |
j |
-294319345/44992 |
j-invariant |
L |
12.675118567925 |
L(r)(E,1)/r! |
Ω |
1.1873261511474 |
Real period |
R |
0.59307482875963 |
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 |
35150h1 |
Quadratic twists by: 5 |