Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304df |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-2.4016124974929E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18673377,31141782783] |
[a1,a2,a3,a4,a6] |
Generators |
[2397:12636:1] |
Generators of the group modulo torsion |
j |
-38898423529252/129730653 |
j-invariant |
L |
10.964037712359 |
L(r)(E,1)/r! |
Ω |
0.14576799054786 |
Real period |
R |
3.7607837026901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000043628 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304fg1 15288g1 122304f1 |
Quadratic twists by: -4 8 -7 |