Atkin-Lehner |
3+ 5+ 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30525b |
Isogeny class |
Conductor |
30525 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
67071533203125 = 33 · 514 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 11+ 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1465525,682259500] |
[a1,a2,a3,a4,a6] |
Generators |
[3432992070:-1729231541:4913000] |
Generators of the group modulo torsion |
j |
22278392096457634129/4292578125 |
j-invariant |
L |
6.700717960135 |
L(r)(E,1)/r! |
Ω |
0.48852550255766 |
Real period |
R |
13.716209133512 |
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 |
91575bh4 6105g4 |
Quadratic twists by: -3 5 |