Atkin-Lehner |
3- 5+ 7+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
31815d |
Isogeny class |
Conductor |
31815 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
328762688625 = 312 · 53 · 72 · 101 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1800,10611] |
[a1,a2,a3,a4,a6] |
Generators |
[-114:1515:8] |
Generators of the group modulo torsion |
j |
885012508801/450977625 |
j-invariant |
L |
4.3932364497439 |
L(r)(E,1)/r! |
Ω |
0.85060230521847 |
Real period |
R |
2.5824268420102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10605g1 |
Quadratic twists by: -3 |