Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
102960cr |
Isogeny class |
Conductor |
102960 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
2.5698816E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11- 13- 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1238667,-471237574] |
[a1,a2,a3,a4,a6] |
Generators |
[2917:-144000:1] |
Generators of the group modulo torsion |
j |
1900481745258486963/232375000000000 |
j-invariant |
L |
7.3182887827677 |
L(r)(E,1)/r! |
Ω |
0.14425371038429 |
Real period |
R |
1.0569180466182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999897813 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12870bj2 102960cb4 |
Quadratic twists by: -4 -3 |