Atkin-Lehner |
3- 5+ 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
30195i |
Isogeny class |
Conductor |
30195 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
139624130984765625 = 38 · 58 · 114 · 612 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-681323,-215541678] |
[a1,a2,a3,a4,a6] |
j |
47979391567428864361/191528300390625 |
j-invariant |
L |
0.66485297497665 |
L(r)(E,1)/r! |
Ω |
0.1662132437441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10065d2 |
Quadratic twists by: -3 |