Atkin-Lehner |
2- 3+ 5+ 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
119280bf |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
250398720 |
Modular degree for the optimal curve |
Δ |
1.444566661317E+30 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-26461285816,1655778156444016] |
[a1,a2,a3,a4,a6] |
Generators |
[2324700088711365791762421180:-21950116579348657974405316476928:26075082101643438625] |
Generators of the group modulo torsion |
j |
500260940707947616544004758689849/352677407548090456473600000 |
j-invariant |
L |
5.778960857251 |
L(r)(E,1)/r! |
Ω |
0.026686306813275 |
Real period |
R |
36.091923600639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999604141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910p1 |
Quadratic twists by: -4 |