Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
108300s |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4976640 |
Modular degree for the optimal curve |
Δ |
4.2989643947531E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30516533,-64875046938] |
[a1,a2,a3,a4,a6] |
Generators |
[-878039565:-97555557:274625] |
Generators of the group modulo torsion |
j |
267219216891904/3655125 |
j-invariant |
L |
7.3196692188641 |
L(r)(E,1)/r! |
Ω |
0.064234169295745 |
Real period |
R |
9.4960741736884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999801251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660w1 5700n1 |
Quadratic twists by: 5 -19 |