Atkin-Lehner |
3- 5+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
107415q |
Isogeny class |
Conductor |
107415 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
75776 |
Modular degree for the optimal curve |
Δ |
-34741555695 = -1 · 37 · 5 · 7 · 114 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 11- 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,247,-8904] |
[a1,a2,a3,a4,a6] |
Generators |
[42:251:1] |
Generators of the group modulo torsion |
j |
2294744759/47656455 |
j-invariant |
L |
4.5481992335326 |
L(r)(E,1)/r! |
Ω |
0.56438908506332 |
Real period |
R |
4.0293118439345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999636487 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35805j1 |
Quadratic twists by: -3 |