Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
30246b |
Isogeny class |
Conductor |
30246 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
7257600 |
Modular degree for the optimal curve |
Δ |
-6.6818577052968E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -3 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-115975872,-480898690802] |
[a1,a2,a3,a4,a6] |
Generators |
[7711382:982851834:343] |
Generators of the group modulo torsion |
j |
-1346717656727992297/521611467264 |
j-invariant |
L |
6.5233688348966 |
L(r)(E,1)/r! |
Ω |
0.023002103730714 |
Real period |
R |
4.7266465358022 |
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 |
90738bd1 426c1 |
Quadratic twists by: -3 -71 |