Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
7800j |
Isogeny class |
Conductor |
7800 |
Conductor |
∏ cp |
88 |
Product of Tamagawa factors cp |
deg |
9856 |
Modular degree for the optimal curve |
Δ |
-73693152000 = -1 · 28 · 311 · 53 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13+ -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6113,182403] |
[a1,a2,a3,a4,a6] |
Generators |
[103:-810:1] |
Generators of the group modulo torsion |
j |
-789601498112/2302911 |
j-invariant |
L |
5.272516515017 |
L(r)(E,1)/r! |
Ω |
1.0951955829465 |
Real period |
R |
0.054707087328391 |
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 |
15600k1 62400br1 23400bp1 7800s1 |
Quadratic twists by: -4 8 -3 5 |