Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
61152cc |
Isogeny class |
Conductor |
61152 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
2.4539912405701E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-737809,51679487] |
[a1,a2,a3,a4,a6] |
Generators |
[-502:17199:1] |
Generators of the group modulo torsion |
j |
92173898928448/50924270943 |
j-invariant |
L |
6.5784109645871 |
L(r)(E,1)/r! |
Ω |
0.18461554873377 |
Real period |
R |
1.1135321160634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000176 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
61152bl3 122304ff1 8736s2 |
Quadratic twists by: -4 8 -7 |