Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
78120c |
Isogeny class |
Conductor |
78120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24129165634560 = 210 · 36 · 5 · 7 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9603,-274482] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:234:1] |
Generators of the group modulo torsion |
j |
131194918404/32323235 |
j-invariant |
L |
6.5333401438905 |
L(r)(E,1)/r! |
Ω |
0.49096309282909 |
Real period |
R |
3.3267980013214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8680n3 |
Quadratic twists by: -3 |