Atkin-Lehner |
2+ 3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
112200i |
Isogeny class |
Conductor |
112200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
222720 |
Modular degree for the optimal curve |
Δ |
-37867500000000 = -1 · 28 · 34 · 510 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -1 11- 0 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,7292,171412] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:396:1] |
Generators of the group modulo torsion |
j |
17150000/15147 |
j-invariant |
L |
4.7436159462344 |
L(r)(E,1)/r! |
Ω |
0.42243818539966 |
Real period |
R |
2.8072840683173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112200cr1 |
Quadratic twists by: 5 |