Atkin-Lehner |
2+ 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
95304f |
Isogeny class |
Conductor |
95304 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12337920 |
Modular degree for the optimal curve |
Δ |
-2.3308845077411E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11- -7 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19366447,65716312821] |
[a1,a2,a3,a4,a6] |
Generators |
[31415335:9518803958:343] |
Generators of the group modulo torsion |
j |
66697871337344000/193534851826107 |
j-invariant |
L |
5.3142007747931 |
L(r)(E,1)/r! |
Ω |
0.05758048466651 |
Real period |
R |
11.536462371641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032413 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5016e1 |
Quadratic twists by: -19 |