Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520ee |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
15482880 |
Modular degree for the optimal curve |
Δ |
-1.4362861016973E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18233133,575826038674] |
[a1,a2,a3,a4,a6] |
Generators |
[-6862:357210:1] |
Generators of the group modulo torsion |
j |
224501959288069776431/48100930939256832000 |
j-invariant |
L |
7.5953531214728 |
L(r)(E,1)/r! |
Ω |
0.044865253675292 |
Real period |
R |
2.8215424703978 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190q1 21840bx1 |
Quadratic twists by: -4 -3 |