Atkin-Lehner |
2- 3- 5- 11+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
78210bp |
Isogeny class |
Conductor |
78210 |
Conductor |
∏ cp |
252 |
Product of Tamagawa factors cp |
Δ |
-49322340384768000 = -1 · 221 · 39 · 53 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11+ -1 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2246015282,40970675640881] |
[a1,a2,a3,a4,a6] |
Generators |
[27169:41679:1] |
Generators of the group modulo torsion |
j |
-1718835458461366920651597710809/67657531392000 |
j-invariant |
L |
9.443360498605 |
L(r)(E,1)/r! |
Ω |
0.13184275404418 |
Real period |
R |
2.558069097752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001994 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
26070o2 |
Quadratic twists by: -3 |