Atkin-Lehner |
2+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
26950bj |
Isogeny class |
Conductor |
26950 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
225216 |
Modular degree for the optimal curve |
Δ |
3761289297920000 = 223 · 54 · 72 · 114 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 11+ -2 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-51476,3386898] |
[a1,a2,a3,a4,a6] |
Generators |
[6:1751:1] |
Generators of the group modulo torsion |
j |
492549478252825/122817609728 |
j-invariant |
L |
2.5321404732576 |
L(r)(E,1)/r! |
Ω |
0.4146254217673 |
Real period |
R |
3.0535277630405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26950ci1 26950bd1 |
Quadratic twists by: 5 -7 |