Atkin-Lehner |
2+ 3+ 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21930h |
Isogeny class |
Conductor |
21930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
47424 |
Modular degree for the optimal curve |
Δ |
-371068231680 = -1 · 213 · 36 · 5 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 3 -6 1 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1827,41229] |
[a1,a2,a3,a4,a6] |
Generators |
[45:207:1] |
Generators of the group modulo torsion |
j |
-675010800306361/371068231680 |
j-invariant |
L |
3.5076546484298 |
L(r)(E,1)/r! |
Ω |
0.88599161631294 |
Real period |
R |
0.98975390507275 |
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 |
65790bx1 109650cu1 |
Quadratic twists by: -3 5 |