Atkin-Lehner |
2- 3+ 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
124950ft |
Isogeny class |
Conductor |
124950 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
5308416 |
Modular degree for the optimal curve |
Δ |
-1.29026128896E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -2 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3132963,2140105281] |
[a1,a2,a3,a4,a6] |
Generators |
[195:39102:1] [-1805:44702:1] |
Generators of the group modulo torsion |
j |
-1850040570997081/7018905600 |
j-invariant |
L |
14.862267166823 |
L(r)(E,1)/r! |
Ω |
0.225433390043 |
Real period |
R |
0.45783008737849 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24990u1 17850bw1 |
Quadratic twists by: 5 -7 |