Atkin-Lehner |
2+ 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15190b |
Isogeny class |
Conductor |
15190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
383616 |
Modular degree for the optimal curve |
Δ |
-277171740125000000 = -1 · 26 · 59 · 74 · 314 |
Discriminant |
Eigenvalues |
2+ -3 5+ 7+ -2 4 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-163375,35924461] |
[a1,a2,a3,a4,a6] |
Generators |
[150:3769:1] |
Generators of the group modulo torsion |
j |
-200858330740497129/115440125000000 |
j-invariant |
L |
1.8184506541769 |
L(r)(E,1)/r! |
Ω |
0.28664908045615 |
Real period |
R |
1.5859554226401 |
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 |
121520bg1 75950by1 15190r1 |
Quadratic twists by: -4 5 -7 |