Atkin-Lehner |
3- 5+ 7+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415i |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-643819408155 = -1 · 36 · 5 · 72 · 112 · 313 |
Discriminant |
Eigenvalues |
-2 3- 5+ 7+ 11+ 6 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2097,11144] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1193:1] |
Generators of the group modulo torsion |
j |
1398915477504/883154195 |
j-invariant |
L |
2.9186601347794 |
L(r)(E,1)/r! |
Ω |
0.56578763646368 |
Real period |
R |
0.42988157388921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999927976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11935c1 |
Quadratic twists by: -3 |