Atkin-Lehner |
2- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
50320l |
Isogeny class |
Conductor |
50320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4504320 |
Modular degree for the optimal curve |
Δ |
-6.1778823862994E+22 |
Discriminant |
Eigenvalues |
2- 0 5+ -5 4 -3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7320397,9213574002] |
[a1,a2,a3,a4,a6] |
Generators |
[3497:278528:1] |
Generators of the group modulo torsion |
j |
10591748678688017690871/15082720669676339200 |
j-invariant |
L |
3.0148300567352 |
L(r)(E,1)/r! |
Ω |
0.074961991027443 |
Real period |
R |
1.0054529019982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6290c1 |
Quadratic twists by: -4 |