Atkin-Lehner |
2+ 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
92400a |
Isogeny class |
Conductor |
92400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
139776 |
Modular degree for the optimal curve |
Δ |
4435200 = 28 · 32 · 52 · 7 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11+ -1 -7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49873,4303597] |
[a1,a2,a3,a4,a6] |
Generators |
[1034:3:8] |
Generators of the group modulo torsion |
j |
2143625552081920/693 |
j-invariant |
L |
3.8623023400545 |
L(r)(E,1)/r! |
Ω |
1.4623292546619 |
Real period |
R |
1.3205994234959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996683 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46200bk1 92400da1 |
Quadratic twists by: -4 5 |