Atkin-Lehner |
2- 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
55300b |
Isogeny class |
Conductor |
55300 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
72000 |
Modular degree for the optimal curve |
Δ |
-1382500000000 = -1 · 28 · 510 · 7 · 79 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -6 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,625,-56250] |
[a1,a2,a3,a4,a6] |
Generators |
[135056:58739:4096] |
Generators of the group modulo torsion |
j |
10800/553 |
j-invariant |
L |
3.9589057060155 |
L(r)(E,1)/r! |
Ω |
0.4090947891235 |
Real period |
R |
9.6772332752146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55300e1 |
Quadratic twists by: 5 |