Atkin-Lehner |
2- 5- 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
102410cm |
Isogeny class |
Conductor |
102410 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-2679282579197840 = -1 · 24 · 5 · 79 · 112 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 7- 11- -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,8525,-2471183] |
[a1,a2,a3,a4,a6] |
Generators |
[132:913:1] |
Generators of the group modulo torsion |
j |
1697936057/66395120 |
j-invariant |
L |
13.074566900653 |
L(r)(E,1)/r! |
Ω |
0.21857594740458 |
Real period |
R |
3.7385652014412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102410bx1 |
Quadratic twists by: -7 |