Atkin-Lehner |
2- 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
75152c |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
1077379072 = 215 · 72 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 -4 7+ 11+ -1 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-280,-784] |
[a1,a2,a3,a4,a6] |
Generators |
[28:112:1] [-7:28:1] |
Generators of the group modulo torsion |
j |
594823321/263032 |
j-invariant |
L |
5.8415473016268 |
L(r)(E,1)/r! |
Ω |
1.2154155913704 |
Real period |
R |
0.60077673668413 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394b1 |
Quadratic twists by: -4 |