Atkin-Lehner |
3+ 5- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
49245o |
Isogeny class |
Conductor |
49245 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
10235904 |
Modular degree for the optimal curve |
Δ |
2.5262949072706E+23 |
Discriminant |
Eigenvalues |
-1 3+ 5- 7- 0 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-357869590,2605504039130] |
[a1,a2,a3,a4,a6] |
Generators |
[296976:100786:27] |
Generators of the group modulo torsion |
j |
43083389116092375080564689/2147315240478515625 |
j-invariant |
L |
3.322719436431 |
L(r)(E,1)/r! |
Ω |
0.092890429559153 |
Real period |
R |
5.1100442473834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999727 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7035f1 |
Quadratic twists by: -7 |