Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
30576r |
Isogeny class |
Conductor |
30576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-36663027518208 = -1 · 28 · 3 · 710 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -6 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9620,-462384] |
[a1,a2,a3,a4,a6] |
Generators |
[208:2548:1] |
Generators of the group modulo torsion |
j |
-3269383504/1217307 |
j-invariant |
L |
1.5780462635927 |
L(r)(E,1)/r! |
Ω |
0.23663600688349 |
Real period |
R |
1.6671662571302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15288t2 122304hu2 91728cc2 4368i2 |
Quadratic twists by: -4 8 -3 -7 |