Atkin-Lehner |
2- 3- 7- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
114576ch |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
340 |
Product of Tamagawa factors cp |
deg |
1762560 |
Modular degree for the optimal curve |
Δ |
-2084196008191562496 = -1 · 28 · 317 · 75 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82797,-70089129] |
[a1,a2,a3,a4,a6] |
Generators |
[2343:-112266:1] |
Generators of the group modulo torsion |
j |
-245206961444036608/8141390656998291 |
j-invariant |
L |
6.0830289985787 |
L(r)(E,1)/r! |
Ω |
0.11376262011387 |
Real period |
R |
0.15726836931255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000363 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28644b1 |
Quadratic twists by: -4 |