Atkin-Lehner |
2+ 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
930d |
Isogeny class |
Conductor |
930 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
435937500000000 = 28 · 32 · 514 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 -4 -4 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37442,2585844] |
[a1,a2,a3,a4,a6] |
Generators |
[68:566:1] |
Generators of the group modulo torsion |
j |
5805223604235668521/435937500000000 |
j-invariant |
L |
1.7003818843924 |
L(r)(E,1)/r! |
Ω |
0.51798400829662 |
Real period |
R |
0.23447798955141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7440y2 29760ba2 2790w2 4650bn2 |
Quadratic twists by: -4 8 -3 5 |