Atkin-Lehner |
2+ 7- 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61642m |
Isogeny class |
Conductor |
61642 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
99000 |
Modular degree for the optimal curve |
Δ |
-684363291808 = -1 · 25 · 76 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 2 -3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8062,-282096] |
[a1,a2,a3,a4,a6] |
j |
-492477523273/5816992 |
j-invariant |
L |
0.75523317554691 |
L(r)(E,1)/r! |
Ω |
0.25174439183217 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1258a1 |
Quadratic twists by: -7 |