Atkin-Lehner |
2+ 3+ 5- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
30810j |
Isogeny class |
Conductor |
30810 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
3081000000 = 26 · 3 · 56 · 13 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 -4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-397,1309] |
[a1,a2,a3,a4,a6] |
Generators |
[3:11:1] |
Generators of the group modulo torsion |
j |
6947097508441/3081000000 |
j-invariant |
L |
3.0713925911067 |
L(r)(E,1)/r! |
Ω |
1.278397403376 |
Real period |
R |
0.80084450082989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92430be1 |
Quadratic twists by: -3 |