Atkin-Lehner |
3+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025l |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
90 |
Product of Tamagawa factors cp |
deg |
331200 |
Modular degree for the optimal curve |
Δ |
11650592907421875 = 33 · 58 · 115 · 193 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 11- -7 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-58805,1791322] |
[a1,a2,a3,a4,a6] |
Generators |
[844:23090:1] [-2026:6025:8] |
Generators of the group modulo torsion |
j |
2132238360915/1104648809 |
j-invariant |
L |
5.6661805117299 |
L(r)(E,1)/r! |
Ω |
0.35430346283386 |
Real period |
R |
0.17769389194754 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47025j1 47025g1 |
Quadratic twists by: -3 5 |