Atkin-Lehner |
2+ 3+ 5- 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
30810h |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
-623101440000 = -1 · 212 · 3 · 54 · 13 · 792 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 0 13+ -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1177,40549] |
[a1,a2,a3,a4,a6] |
Generators |
[18:-169:1] [3:191:1] |
Generators of the group modulo torsion |
j |
-180563311508761/623101440000 |
j-invariant |
L |
5.2326914516045 |
L(r)(E,1)/r! |
Ω |
0.80028236255208 |
Real period |
R |
1.6346391275313 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430bc1 |
Quadratic twists by: -3 |