Atkin-Lehner |
2+ 3- 41- |
Signs for the Atkin-Lehner involutions |
Class |
30258h |
Isogeny class |
Conductor |
30258 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7273728 |
Modular degree for the optimal curve |
Δ |
4.2236909389066E+24 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 1 -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-306952596,-2067487461680] |
[a1,a2,a3,a4,a6] |
Generators |
[143389974446484337463288:-45163651050243417591389788:1404442603111613311] |
Generators of the group modulo torsion |
j |
549464024729857/725594112 |
j-invariant |
L |
5.238691133884 |
L(r)(E,1)/r! |
Ω |
0.036071663103528 |
Real period |
R |
36.307524266684 |
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 |
10086o1 30258f1 |
Quadratic twists by: -3 41 |