Atkin-Lehner |
2+ 5+ 19- 37- |
Signs for the Atkin-Lehner involutions |
Class |
35150k |
Isogeny class |
Conductor |
35150 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-52022000000 = -1 · 27 · 56 · 19 · 372 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 5 7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-475,-11875] |
[a1,a2,a3,a4,a6] |
Generators |
[350:1675:8] |
Generators of the group modulo torsion |
j |
-761048497/3329408 |
j-invariant |
L |
3.8581601332556 |
L(r)(E,1)/r! |
Ω |
0.46449475550854 |
Real period |
R |
2.0765358959926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1406f1 |
Quadratic twists by: 5 |