Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
75504o |
Isogeny class |
Conductor |
75504 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
574464 |
Modular degree for the optimal curve |
Δ |
-2542508972669952 = -1 · 210 · 34 · 119 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 11+ 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-26176,2914052] |
[a1,a2,a3,a4,a6] |
Generators |
[98:1140:1] |
Generators of the group modulo torsion |
j |
-821516/1053 |
j-invariant |
L |
11.335621812833 |
L(r)(E,1)/r! |
Ω |
0.41265517784546 |
Real period |
R |
3.4337451773907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999982499 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37752c1 75504l1 |
Quadratic twists by: -4 -11 |