Atkin-Lehner |
2+ 3- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230o |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-9984421324800 = -1 · 211 · 37 · 52 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -1 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1521990,723093556] |
[a1,a2,a3,a4,a6] |
Generators |
[713:-334:1] |
Generators of the group modulo torsion |
j |
-534849681171628499041/13696051200 |
j-invariant |
L |
2.7260518724997 |
L(r)(E,1)/r! |
Ω |
0.52758868622034 |
Real period |
R |
1.2917505358337 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7410p1 111150ea1 |
Quadratic twists by: -3 5 |