Atkin-Lehner |
2+ 3+ 5- 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
21210h |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
17592422400 = 212 · 35 · 52 · 7 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3472,77056] |
[a1,a2,a3,a4,a6] |
Generators |
[27:49:1] |
Generators of the group modulo torsion |
j |
4630824176799241/17592422400 |
j-invariant |
L |
2.9871670872111 |
L(r)(E,1)/r! |
Ω |
1.2353804658888 |
Real period |
R |
2.4180138586391 |
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 |
63630bd1 106050cc1 |
Quadratic twists by: -3 5 |