Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
29400ea |
Isogeny class |
Conductor |
29400 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
9.5761000986328E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34289383,77257877738] |
[a1,a2,a3,a4,a6] |
j |
151591373397612544/32558203125 |
j-invariant |
L |
3.0491096019906 |
L(r)(E,1)/r! |
Ω |
0.15245548009951 |
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 |
58800t1 88200bz1 5880h1 4200r1 |
Quadratic twists by: -4 -3 5 -7 |