Atkin-Lehner |
3- 5- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
101475cd |
Isogeny class |
Conductor |
101475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3.4821337715508E+19 |
Discriminant |
Eigenvalues |
2 3- 5- -2 11+ -6 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-621642585,-5965670324619] |
[a1,a2,a3,a4,a6] |
Generators |
[-5552538513367985766890039169075720323581268086450138510200:2095302670674475237751384085415614154632197894725715629:385718018039107593361240685242495988376722225560228352] |
Generators of the group modulo torsion |
j |
291546910741641055583105024/382127162858793 |
j-invariant |
L |
10.482298906282 |
L(r)(E,1)/r! |
Ω |
0.030235305790425 |
Real period |
R |
86.672671503142 |
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 |
33825be3 101475cf3 |
Quadratic twists by: -3 5 |