Atkin-Lehner |
2- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
63536u |
Isogeny class |
Conductor |
63536 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-2119699214336 = -1 · 212 · 11 · 196 |
Discriminant |
Eigenvalues |
2- -1 1 2 11+ -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45170245,-116834424211] |
[a1,a2,a3,a4,a6] |
Generators |
[229114275106860463812806024401919263127363101285086228060:14727847518998152253971788403371677591914704993360122040547:23159552954706986397965907767018650263062314525402125] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
5.0646582776886 |
L(r)(E,1)/r! |
Ω |
0.029117658397664 |
Real period |
R |
86.968845648917 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3971b3 176b3 |
Quadratic twists by: -4 -19 |