Atkin-Lehner |
2+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
15400d |
Isogeny class |
Conductor |
15400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1.838127404575E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1298425,-318107750] |
[a1,a2,a3,a4,a6] |
Generators |
[1335:61600:1] |
Generators of the group modulo torsion |
j |
60522147178827696/45953185114375 |
j-invariant |
L |
4.672009327561 |
L(r)(E,1)/r! |
Ω |
0.10045207175844 |
Real period |
R |
1.9379098101945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30800a1 123200bh1 3080c1 107800l1 |
Quadratic twists by: -4 8 5 -7 |