Atkin-Lehner |
3+ 5+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
105105q |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
226464000 |
Modular degree for the optimal curve |
Δ |
-2.9909627923823E+27 |
Discriminant |
Eigenvalues |
2 3+ 5+ 7- 11- 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-26068491626,1620036763297091] |
[a1,a2,a3,a4,a6] |
Generators |
[22518610:32317625841:1000] |
Generators of the group modulo torsion |
j |
-5711856662442053032894227574263808/8720008141056201632053125 |
j-invariant |
L |
10.472989541563 |
L(r)(E,1)/r! |
Ω |
0.03838758521298 |
Real period |
R |
9.7436537818066 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000025003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105105cr1 |
Quadratic twists by: -7 |