Atkin-Lehner |
2- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800cw |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
14976 |
Modular degree for the optimal curve |
Δ |
-29920000 = -1 · 28 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- -1 11+ -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,-137] |
[a1,a2,a3,a4,a6] |
Generators |
[2:3:1] [3:10:1] |
Generators of the group modulo torsion |
j |
204800/187 |
j-invariant |
L |
7.1662588460963 |
L(r)(E,1)/r! |
Ω |
1.1468316959776 |
Real period |
R |
1.0414575029123 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999651 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18700n1 74800be1 |
Quadratic twists by: -4 5 |