Atkin-Lehner |
2- 3+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
19740f |
Isogeny class |
Conductor |
19740 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
388631250000 = 24 · 33 · 58 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1881,-8694] |
[a1,a2,a3,a4,a6] |
j |
46025761275904/24289453125 |
j-invariant |
L |
2.3074785557684 |
L(r)(E,1)/r! |
Ω |
0.76915951858948 |
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 |
78960cj1 59220y1 98700w1 |
Quadratic twists by: -4 -3 5 |