Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
30800ch |
Isogeny class |
Conductor |
30800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
694451912000000000 = 212 · 59 · 72 · 116 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-467208,-116350412] |
[a1,a2,a3,a4,a6] |
Generators |
[-442:2000:1] |
Generators of the group modulo torsion |
j |
1409825840597/86806489 |
j-invariant |
L |
3.3204130376506 |
L(r)(E,1)/r! |
Ω |
0.18331281144581 |
Real period |
R |
2.26417142606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1925l2 123200hc2 30800ct2 |
Quadratic twists by: -4 8 5 |