Atkin-Lehner |
2- 5+ 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
78100c |
Isogeny class |
Conductor |
78100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-30507812500000000 = -1 · 28 · 516 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,78092,234312] |
[a1,a2,a3,a4,a6] |
j |
13166725948976/7626953125 |
j-invariant |
L |
2.6725746235687 |
L(r)(E,1)/r! |
Ω |
0.22271455182186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15620a2 |
Quadratic twists by: 5 |