Atkin-Lehner |
2- 3+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450by |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
352 |
Product of Tamagawa factors cp |
deg |
11354112 |
Modular degree for the optimal curve |
Δ |
-1.1216049395466E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32827338,88514147031] |
[a1,a2,a3,a4,a6] |
Generators |
[-3535:402267:1] |
Generators of the group modulo torsion |
j |
-250386371942892200094169/71782716130983936000 |
j-invariant |
L |
7.7954294179667 |
L(r)(E,1)/r! |
Ω |
0.082491399656808 |
Real period |
R |
4.2954502201668 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999707 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12090h1 |
Quadratic twists by: 5 |