Atkin-Lehner |
3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
88935x |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
54144 |
Modular degree for the optimal curve |
Δ |
-544726875 = -1 · 3 · 54 · 74 · 112 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ 11- -1 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,180,-694] |
[a1,a2,a3,a4,a6] |
Generators |
[5:17:1] |
Generators of the group modulo torsion |
j |
2207744/1875 |
j-invariant |
L |
2.5690146214111 |
L(r)(E,1)/r! |
Ω |
0.90660042099362 |
Real period |
R |
0.23613992033452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88935bu1 88935w1 |
Quadratic twists by: -7 -11 |