Atkin-Lehner |
3- 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61605i |
Isogeny class |
Conductor |
61605 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
4596480 |
Modular degree for the optimal curve |
Δ |
-1.2412762062937E+23 |
Discriminant |
Eigenvalues |
0 3- 5- 2 0 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29636112,64370300940] |
[a1,a2,a3,a4,a6] |
Generators |
[-2182:344452:1] |
Generators of the group modulo torsion |
j |
-1539038632738816/66363694875 |
j-invariant |
L |
6.3226174111679 |
L(r)(E,1)/r! |
Ω |
0.10357367668393 |
Real period |
R |
2.5435265075535 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20535b1 1665c1 |
Quadratic twists by: -3 37 |