Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496bq |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-5.7392413772281E+19 |
Discriminant |
Eigenvalues |
2+ 2 2 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,750223,-265386127] |
[a1,a2,a3,a4,a6] |
Generators |
[148107:11095568:27] |
Generators of the group modulo torsion |
j |
24226243449392/29774625727 |
j-invariant |
L |
9.5608782636974 |
L(r)(E,1)/r! |
Ω |
0.10619079941237 |
Real period |
R |
7.5029085355521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34496cv1 4312e1 4928r1 |
Quadratic twists by: -4 8 -7 |