Atkin-Lehner |
3+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025h |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-19893779296875 = -1 · 33 · 510 · 11 · 193 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 0 11- 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-75,-214594] |
[a1,a2,a3,a4,a6] |
Generators |
[90:712:1] |
Generators of the group modulo torsion |
j |
-110592/47155625 |
j-invariant |
L |
2.8670879783879 |
L(r)(E,1)/r! |
Ω |
0.31320578017181 |
Real period |
R |
0.76283393642082 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025d1 9405b1 |
Quadratic twists by: -3 5 |