Atkin-Lehner |
2+ 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cf |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-2807562240000 = -1 · 222 · 32 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-705,-80703] |
[a1,a2,a3,a4,a6] |
Generators |
[99:900:1] |
Generators of the group modulo torsion |
j |
-148035889/10710000 |
j-invariant |
L |
5.6972693253392 |
L(r)(E,1)/r! |
Ω |
0.35517994594883 |
Real period |
R |
2.0050644013027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998426 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240js1 3570w1 |
Quadratic twists by: -4 8 |