Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cd |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-175472640000 = -1 · 218 · 32 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,895,17025] |
[a1,a2,a3,a4,a6] |
Generators |
[17:192:1] |
Generators of the group modulo torsion |
j |
302111711/669375 |
j-invariant |
L |
7.1629680755542 |
L(r)(E,1)/r! |
Ω |
0.70509562028112 |
Real period |
R |
1.269857562134 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044705 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240jq1 1785k1 |
Quadratic twists by: -4 8 |