Atkin-Lehner |
2+ 3+ 5- 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
119970h |
Isogeny class |
Conductor |
119970 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11764224 |
Modular degree for the optimal curve |
Δ |
-8.6635258944639E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 0 -3 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11422824,-20524042432] |
[a1,a2,a3,a4,a6] |
Generators |
[2074624598647214008187443:5823322281550806461462251:510428937669989488129] |
Generators of the group modulo torsion |
j |
-8374384498867859477907/4401527152600678400 |
j-invariant |
L |
6.1009174801614 |
L(r)(E,1)/r! |
Ω |
0.040071463548111 |
Real period |
R |
38.062731804371 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119970bg1 |
Quadratic twists by: -3 |