Atkin-Lehner |
2+ 5+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
98800r |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
2188800 |
Modular degree for the optimal curve |
Δ |
-1989608349218750000 = -1 · 24 · 511 · 135 · 193 |
Discriminant |
Eigenvalues |
2+ 3 5+ -3 -2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83950,-68507125] |
[a1,a2,a3,a4,a6] |
Generators |
[23565:617500:27] |
Generators of the group modulo torsion |
j |
-261725359417344/7958433396875 |
j-invariant |
L |
11.061554791005 |
L(r)(E,1)/r! |
Ω |
0.11402385453358 |
Real period |
R |
1.6168480460532 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49400u1 19760c1 |
Quadratic twists by: -4 5 |