Atkin-Lehner |
2- 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98800bs |
Isogeny class |
Conductor |
98800 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-688922558593750000 = -1 · 24 · 514 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -6 13- -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23825,-39959125] |
[a1,a2,a3,a4,a6] |
Generators |
[490:8125:1] |
Generators of the group modulo torsion |
j |
-5982496199424/2755690234375 |
j-invariant |
L |
3.7749616773827 |
L(r)(E,1)/r! |
Ω |
0.12861627489182 |
Real period |
R |
2.9350575451283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24700k1 19760l1 |
Quadratic twists by: -4 5 |