Atkin-Lehner |
2- 3- 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
87840bg |
Isogeny class |
Conductor |
87840 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-8511584764202496000 = -1 · 212 · 39 · 53 · 615 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 0 2 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,466872,68019248] |
[a1,a2,a3,a4,a6] |
Generators |
[2396:122236:1] |
Generators of the group modulo torsion |
j |
3769031102810624/2850512515875 |
j-invariant |
L |
4.0989973964687 |
L(r)(E,1)/r! |
Ω |
0.14863684000051 |
Real period |
R |
6.89431603653 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999495 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87840l1 29280i1 |
Quadratic twists by: -4 -3 |