Atkin-Lehner |
2+ 3+ 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050s |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
936000 |
Modular degree for the optimal curve |
Δ |
-35787484800000000 = -1 · 213 · 36 · 58 · 232 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 0 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-155575,25247125] |
[a1,a2,a3,a4,a6] |
Generators |
[361:3856:1] |
Generators of the group modulo torsion |
j |
-1066074286030105/91615961088 |
j-invariant |
L |
3.8957821947398 |
L(r)(E,1)/r! |
Ω |
0.35873852656611 |
Real period |
R |
2.7149176220397 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012383 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100050cf1 |
Quadratic twists by: 5 |