Atkin-Lehner |
2+ 3+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
21054a |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
877230788108894208 = 214 · 33 · 119 · 292 |
Discriminant |
Eigenvalues |
2+ 3+ 0 4 11+ -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-686435,213926541] |
[a1,a2,a3,a4,a6] |
Generators |
[508002:3443151:1331] |
Generators of the group modulo torsion |
j |
15170112168875/372031488 |
j-invariant |
L |
3.7957591818892 |
L(r)(E,1)/r! |
Ω |
0.28016576350976 |
Real period |
R |
6.7741310257506 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63162bv1 21054v1 |
Quadratic twists by: -3 -11 |