Atkin-Lehner |
2- 7+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
75152f |
Isogeny class |
Conductor |
75152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
777600 |
Modular degree for the optimal curve |
Δ |
429437708656574464 = 217 · 79 · 113 · 61 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 11+ 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-207912,18438256] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:4366:1] |
Generators of the group modulo torsion |
j |
242663535802176553/104843190589984 |
j-invariant |
L |
3.3193379503888 |
L(r)(E,1)/r! |
Ω |
0.26864451367966 |
Real period |
R |
6.1779373532491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999963089 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9394d1 |
Quadratic twists by: -4 |