Atkin-Lehner |
3- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
19215i |
Isogeny class |
Conductor |
19215 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.4078198649632E+25 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-664756650,-6590786365625] |
[a1,a2,a3,a4,a6] |
Generators |
[124211997286667831975451511668302909223452699987196:125479659198454714267826807906888514796664255089802759:121516367834868813363579223431393409838941376] |
Generators of the group modulo torsion |
j |
44564009265722015951348426401/46746500205256935575625 |
j-invariant |
L |
4.4944986024566 |
L(r)(E,1)/r! |
Ω |
0.029734540667273 |
Real period |
R |
75.577064612325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6405e3 96075bn3 |
Quadratic twists by: -3 5 |