Atkin-Lehner |
2+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128j |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-8449986690410273792 = -1 · 210 · 714 · 233 |
Discriminant |
Eigenvalues |
2+ 3 2 7- -2 -1 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1650124,-827774248] |
[a1,a2,a3,a4,a6] |
j |
-4124632486295808/70140333767 |
j-invariant |
L |
6.5204574784532 |
L(r)(E,1)/r! |
Ω |
0.066535280358368 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
49 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72128ch1 9016l1 10304b1 |
Quadratic twists by: -4 8 -7 |