Atkin-Lehner |
2- 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
63800p |
Isogeny class |
Conductor |
63800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-30879200000000 = -1 · 211 · 58 · 113 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- -2 11+ -3 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2208,-269588] |
[a1,a2,a3,a4,a6] |
Generators |
[986:9175:8] |
Generators of the group modulo torsion |
j |
-1488770/38599 |
j-invariant |
L |
3.748356540595 |
L(r)(E,1)/r! |
Ω |
0.28606032849472 |
Real period |
R |
4.3677925792605 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127600r1 63800a1 |
Quadratic twists by: -4 5 |