Atkin-Lehner |
2- 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
26600bi |
Isogeny class |
Conductor |
26600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-15793750000 = -1 · 24 · 58 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 7- -3 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,625,-625] |
[a1,a2,a3,a4,a6] |
Generators |
[50:475:8] [25:175:1] |
Generators of the group modulo torsion |
j |
4320000/2527 |
j-invariant |
L |
7.7870381310803 |
L(r)(E,1)/r! |
Ω |
0.73094902917342 |
Real period |
R |
0.88777714773159 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53200v1 26600a1 |
Quadratic twists by: -4 5 |