Atkin-Lehner |
2- 3- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
60390ba |
Isogeny class |
Conductor |
60390 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
4163617461712500000 = 25 · 37 · 58 · 11 · 614 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-486743,86413007] |
[a1,a2,a3,a4,a6] |
Generators |
[157:3642:1] |
Generators of the group modulo torsion |
j |
17494216259573488681/5711409412500000 |
j-invariant |
L |
8.1480512274724 |
L(r)(E,1)/r! |
Ω |
0.22750852038938 |
Real period |
R |
1.7907134232523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000198 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20130h4 |
Quadratic twists by: -3 |