Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
102300z |
Isogeny class |
Conductor |
102300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-773643750000 = -1 · 24 · 3 · 58 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1176458,-491540787] |
[a1,a2,a3,a4,a6] |
Generators |
[11660319:1082645109:1331] |
Generators of the group modulo torsion |
j |
-28811996003680000/123783 |
j-invariant |
L |
9.0953741984856 |
L(r)(E,1)/r! |
Ω |
0.07248120774334 |
Real period |
R |
13.942884852712 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
8.9999999965638 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102300d2 |
Quadratic twists by: 5 |