Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
34320bd |
Isogeny class |
Conductor |
34320 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
374400 |
Modular degree for the optimal curve |
Δ |
-440887305830400000 = -1 · 225 · 35 · 55 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 11- 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159624,20392560] |
[a1,a2,a3,a4,a6] |
Generators |
[860:28160:1] |
Generators of the group modulo torsion |
j |
109813469243970311/107638502400000 |
j-invariant |
L |
4.1945867083196 |
L(r)(E,1)/r! |
Ω |
0.19554605347858 |
Real period |
R |
1.7875527843278 |
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 |
4290j1 102960dz1 |
Quadratic twists by: -4 -3 |