Atkin-Lehner |
3- 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
21315r |
Isogeny class |
Conductor |
21315 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
52080 |
Modular degree for the optimal curve |
Δ |
203122763235 = 35 · 5 · 78 · 29 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -6 4 -8 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11198,-456487] |
[a1,a2,a3,a4,a6] |
j |
26934258841/35235 |
j-invariant |
L |
2.320722461953 |
L(r)(E,1)/r! |
Ω |
0.4641444923906 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63945f1 106575b1 21315d1 |
Quadratic twists by: -3 5 -7 |