Atkin-Lehner |
2+ 5+ 11+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
121550l |
Isogeny class |
Conductor |
121550 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
910080 |
Modular degree for the optimal curve |
Δ |
271217933593750 = 2 · 59 · 11 · 135 · 17 |
Discriminant |
Eigenvalues |
2+ 3 5+ -2 11+ 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-24442,-1233034] |
[a1,a2,a3,a4,a6] |
Generators |
[-2877:12001:27] |
Generators of the group modulo torsion |
j |
103353193423089/17357947750 |
j-invariant |
L |
9.0000559139648 |
L(r)(E,1)/r! |
Ω |
0.3861876205933 |
Real period |
R |
1.1652439716263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999752262 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24310s1 |
Quadratic twists by: 5 |