Atkin-Lehner |
2+ 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
19110o |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
13813385564160 = 212 · 32 · 5 · 78 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-30307,-2035571] |
[a1,a2,a3,a4,a6] |
j |
26168974809769/117411840 |
j-invariant |
L |
1.44773538311 |
L(r)(E,1)/r! |
Ω |
0.3619338457775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330ef1 95550je1 2730m1 |
Quadratic twists by: -3 5 -7 |