Atkin-Lehner |
2+ 5- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350s |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
195840 |
Modular degree for the optimal curve |
Δ |
-10621121875000 = -1 · 23 · 58 · 7 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -1 13- 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,424,156798] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:186:1] |
Generators of the group modulo torsion |
j |
21653735/27190072 |
j-invariant |
L |
2.9550975932428 |
L(r)(E,1)/r! |
Ω |
0.56427288641709 |
Real period |
R |
0.43641673875025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965441 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
77350be1 |
Quadratic twists by: 5 |