Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25080f |
Isogeny class |
Conductor |
25080 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
11353565520 = 24 · 32 · 5 · 112 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 11+ 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1935,33012] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:114:1] |
Generators of the group modulo torsion |
j |
50103845533696/709597845 |
j-invariant |
L |
3.9733362611182 |
L(r)(E,1)/r! |
Ω |
1.278923453839 |
Real period |
R |
1.5533909590881 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
50160w1 75240bh1 125400cu1 |
Quadratic twists by: -4 -3 5 |