Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240je |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-98703360000 = -1 · 214 · 34 · 54 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1041,-20241] |
[a1,a2,a3,a4,a6] |
Generators |
[47:192:1] |
Generators of the group modulo torsion |
j |
-7622072656/6024375 |
j-invariant |
L |
9.2091315641977 |
L(r)(E,1)/r! |
Ω |
0.40642680527763 |
Real period |
R |
2.8323462610782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027752 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240i1 28560y1 |
Quadratic twists by: -4 8 |