Atkin-Lehner |
3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245p |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
4236960 |
Modular degree for the optimal curve |
Δ |
9.4293452154893E+19 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 3 -2 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-11621640,-15238244869] |
[a1,a2,a3,a4,a6] |
Generators |
[-2519873023797621620:1262531665847384007:1302027597561536] |
Generators of the group modulo torsion |
j |
614533559071903744/333811378125 |
j-invariant |
L |
11.337936278759 |
L(r)(E,1)/r! |
Ω |
0.081770538205727 |
Real period |
R |
27.731103469647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49245s1 |
Quadratic twists by: -7 |