Atkin-Lehner |
2- 3+ 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28050cc |
Isogeny class |
Conductor |
28050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1114560 |
Modular degree for the optimal curve |
Δ |
-4.6586986459056E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11+ -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-604668,-1054365399] |
[a1,a2,a3,a4,a6] |
Generators |
[23394830080490436377:-6719066703780839106521:284591671252433] |
Generators of the group modulo torsion |
j |
-977990655709767978985/18634794583622491692 |
j-invariant |
L |
7.1491186757838 |
L(r)(E,1)/r! |
Ω |
0.071700464422308 |
Real period |
R |
24.927030575688 |
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 |
84150cf1 28050bm1 |
Quadratic twists by: -3 5 |