Atkin-Lehner |
2+ 3- 5+ 19+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
70110j |
Isogeny class |
Conductor |
70110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7171584 |
Modular degree for the optimal curve |
Δ |
-1.6707207489764E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30234960,64299052516] |
[a1,a2,a3,a4,a6] |
Generators |
[197426:87589052:1] |
Generators of the group modulo torsion |
j |
-4192995410466752984290561/22917980095697812500 |
j-invariant |
L |
4.4009394977109 |
L(r)(E,1)/r! |
Ω |
0.12416262372851 |
Real period |
R |
4.4306202679885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23370l1 |
Quadratic twists by: -3 |