Atkin-Lehner |
2+ 3+ 7+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
85008g |
Isogeny class |
Conductor |
85008 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3978240 |
Modular degree for the optimal curve |
Δ |
-4.1202945241412E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7+ 11- 3 6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3517316,-3996866541] |
[a1,a2,a3,a4,a6] |
Generators |
[399255:16461951:125] |
Generators of the group modulo torsion |
j |
-300772423923360031577344/257518407758823437919 |
j-invariant |
L |
5.2731949055622 |
L(r)(E,1)/r! |
Ω |
0.053204767523643 |
Real period |
R |
4.1296384615489 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004325 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42504x1 |
Quadratic twists by: -4 |