Atkin-Lehner |
2+ 3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97350d |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3427200 |
Modular degree for the optimal curve |
Δ |
-4.2911726482944E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11+ 4 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,832125,-117853875] |
[a1,a2,a3,a4,a6] |
Generators |
[326468416430362817592407741:6584342370798100670051225928:2190769343012216077110271] |
Generators of the group modulo torsion |
j |
4078200565293477839/2746350494908416 |
j-invariant |
L |
5.097766198451 |
L(r)(E,1)/r! |
Ω |
0.11528124151232 |
Real period |
R |
44.220257620198 |
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 |
3894m1 |
Quadratic twists by: 5 |