Atkin-Lehner |
2- 5- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85840h |
Isogeny class |
Conductor |
85840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1043712 |
Modular degree for the optimal curve |
Δ |
152383622883328000 = 214 · 53 · 29 · 376 |
Discriminant |
Eigenvalues |
2- 0 5- -4 -2 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-541507,-152220606] |
[a1,a2,a3,a4,a6] |
Generators |
[-447:720:1] |
Generators of the group modulo torsion |
j |
4287222165289972761/37203032930500 |
j-invariant |
L |
2.9863340170451 |
L(r)(E,1)/r! |
Ω |
0.17608643777638 |
Real period |
R |
2.8265796205345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999940321 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10730a1 |
Quadratic twists by: -4 |