Atkin-Lehner |
2+ 3+ 5+ 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
89670d |
Isogeny class |
Conductor |
89670 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-108530425564827840 = -1 · 26 · 39 · 5 · 710 · 61 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -2 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10872629655983,13799071469488234917] |
[a1,a2,a3,a4,a6] |
j |
-503207491402588971565970331464134921/384212160 |
j-invariant |
L |
1.3063699482659 |
L(r)(E,1)/r! |
Ω |
0.026127399501404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89670y2 |
Quadratic twists by: -7 |