Atkin-Lehner |
2+ 3+ 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
32370h |
Isogeny class |
Conductor |
32370 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3655680 |
Modular degree for the optimal curve |
Δ |
-8.2393712341486E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 4 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,10877308,261068496] |
[a1,a2,a3,a4,a6] |
Generators |
[20293231:-4953917298:343] |
Generators of the group modulo torsion |
j |
142327207378419565089975479/82393712341486141440000 |
j-invariant |
L |
3.5466866069514 |
L(r)(E,1)/r! |
Ω |
0.064726091739557 |
Real period |
R |
13.698828832515 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97110bu1 |
Quadratic twists by: -3 |