Atkin-Lehner |
3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
116865o |
Isogeny class |
Conductor |
116865 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
770319054479953125 = 318 · 56 · 74 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ -3 1 1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1542848,736796022] |
[a1,a2,a3,a4,a6] |
Generators |
[678:1098:1] |
Generators of the group modulo torsion |
j |
232045518586998361/440099578125 |
j-invariant |
L |
3.9024074351224 |
L(r)(E,1)/r! |
Ω |
0.28405802415411 |
Real period |
R |
3.43451613329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999183358 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38955e1 116865bi1 |
Quadratic twists by: -3 -7 |