Atkin-Lehner |
3- 5+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
91575be |
Isogeny class |
Conductor |
91575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
440299718525390625 = 37 · 510 · 11 · 374 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-199355,-12381478] |
[a1,a2,a3,a4,a6] |
Generators |
[-125510:1224259:343] |
Generators of the group modulo torsion |
j |
76922876001889/38654570625 |
j-invariant |
L |
4.8498824104863 |
L(r)(E,1)/r! |
Ω |
0.23813081683231 |
Real period |
R |
10.183231379106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30525t1 18315q1 |
Quadratic twists by: -3 5 |