Atkin-Lehner |
3- 5- 19+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
8265b |
Isogeny class |
Conductor |
8265 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-101674996875 = -1 · 310 · 55 · 19 · 29 |
Discriminant |
Eigenvalues |
-2 3- 5- -2 2 -1 -7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1370,24374] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:37:1] |
Generators of the group modulo torsion |
j |
-284578691608576/101674996875 |
j-invariant |
L |
2.5540262080314 |
L(r)(E,1)/r! |
Ω |
1.0007654100379 |
Real period |
R |
1.2760364129366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
24795g1 41325c1 |
Quadratic twists by: -3 5 |