Atkin-Lehner |
2+ 3- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
94050s |
Isogeny class |
Conductor |
94050 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
724019472000000 = 210 · 39 · 56 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-288567,-59578659] |
[a1,a2,a3,a4,a6] |
Generators |
[1230:37401:1] |
Generators of the group modulo torsion |
j |
233301213501481/63562752 |
j-invariant |
L |
4.0951884072591 |
L(r)(E,1)/r! |
Ω |
0.20598942183268 |
Real period |
R |
2.4850720248118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31350cg1 3762o1 |
Quadratic twists by: -3 5 |