Atkin-Lehner |
2+ 3+ 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
95370s |
Isogeny class |
Conductor |
95370 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1199520 |
Modular degree for the optimal curve |
Δ |
-92079998221200000 = -1 · 27 · 3 · 55 · 11 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 11+ 2 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,84238,11197236] |
[a1,a2,a3,a4,a6] |
Generators |
[987:32019:1] |
Generators of the group modulo torsion |
j |
9476510039/13200000 |
j-invariant |
L |
4.6760046739067 |
L(r)(E,1)/r! |
Ω |
0.22895785271837 |
Real period |
R |
1.3615328808061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004244 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95370be1 |
Quadratic twists by: 17 |