Atkin-Lehner |
2- 3+ 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
97680z |
Isogeny class |
Conductor |
97680 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-61890048000 = -1 · 212 · 33 · 53 · 112 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3301,75085] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:297:1] |
Generators of the group modulo torsion |
j |
-971475595264/15109875 |
j-invariant |
L |
6.307814390641 |
L(r)(E,1)/r! |
Ω |
1.1099178891039 |
Real period |
R |
2.841568045884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999622301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6105e1 |
Quadratic twists by: -4 |