Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
109368i |
Isogeny class |
Conductor |
109368 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
565248 |
Modular degree for the optimal curve |
Δ |
-117270164572848 = -1 · 24 · 33 · 710 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-74382,7825545] |
[a1,a2,a3,a4,a6] |
Generators |
[28:2401:1] |
Generators of the group modulo torsion |
j |
-895478740992/2307361 |
j-invariant |
L |
5.313860119861 |
L(r)(E,1)/r! |
Ω |
0.5921004486816 |
Real period |
R |
1.1218240356614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001893 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109368bj1 15624d1 |
Quadratic twists by: -3 -7 |