Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
25200bu |
Isogeny class |
Conductor |
25200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
-3.4323033947344E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 5 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7606875,-8080196875] |
[a1,a2,a3,a4,a6] |
Generators |
[298382811470339251964129866750183177107404:36544699549004455586121425442989553117567033:19220887576258459719649672065811115201] |
Generators of the group modulo torsion |
j |
-427361108435200/301327047 |
j-invariant |
L |
5.9888806934953 |
L(r)(E,1)/r! |
Ω |
0.045451646921828 |
Real period |
R |
65.88188876627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12600bx1 100800od1 8400k1 25200cd1 |
Quadratic twists by: -4 8 -3 5 |