Atkin-Lehner |
3+ 5- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
20295h |
Isogeny class |
Conductor |
20295 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
22285432125 = 33 · 53 · 115 · 41 |
Discriminant |
Eigenvalues |
0 3+ 5- -2 11- -6 -5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6372,195645] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:302:1] [23:247:1] |
Generators of the group modulo torsion |
j |
1059710528913408/825386375 |
j-invariant |
L |
6.3862867069647 |
L(r)(E,1)/r! |
Ω |
1.1962048115037 |
Real period |
R |
0.17795967840816 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20295a1 101475l1 |
Quadratic twists by: -3 5 |