Atkin-Lehner |
2+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97526i |
Isogeny class |
Conductor |
97526 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-2970521731170566144 = -1 · 227 · 116 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 1 3 1 11- 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,303828,-52138902] |
[a1,a2,a3,a4,a6] |
Generators |
[5857298208:142592989319:23887872] |
Generators of the group modulo torsion |
j |
1750866528803183/1676782075904 |
j-invariant |
L |
7.6033903879558 |
L(r)(E,1)/r! |
Ω |
0.13845355673914 |
Real period |
R |
13.729135195585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999990571 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
806e1 |
Quadratic twists by: -11 |