Atkin-Lehner |
2- 7- 19- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
76342z |
Isogeny class |
Conductor |
76342 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
313344 |
Modular degree for the optimal curve |
Δ |
97514079544 = 23 · 77 · 192 · 41 |
Discriminant |
Eigenvalues |
2- -3 1 7- -6 -4 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11157,456117] |
[a1,a2,a3,a4,a6] |
Generators |
[121:870:1] [-75:968:1] |
Generators of the group modulo torsion |
j |
1305392995089/828856 |
j-invariant |
L |
10.089644298266 |
L(r)(E,1)/r! |
Ω |
1.0550027627046 |
Real period |
R |
0.398484118364 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10906i1 |
Quadratic twists by: -7 |