Atkin-Lehner |
3+ 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315d |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7440 |
Modular degree for the optimal curve |
Δ |
1726515 = 35 · 5 · 72 · 29 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- -6 -4 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-228,1233] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-3:1] |
Generators of the group modulo torsion |
j |
26934258841/35235 |
j-invariant |
L |
3.4433611167328 |
L(r)(E,1)/r! |
Ω |
2.6474640823551 |
Real period |
R |
1.3006261877856 |
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 |
63945bf1 106575ci1 21315r1 |
Quadratic twists by: -3 5 -7 |