Atkin-Lehner |
2- 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
30690bj |
Isogeny class |
Conductor |
30690 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-171870536724480 = -1 · 212 · 38 · 5 · 113 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5278,-614559] |
[a1,a2,a3,a4,a6] |
Generators |
[189:2571:1] |
Generators of the group modulo torsion |
j |
22309070726951/235762053120 |
j-invariant |
L |
8.9375117673386 |
L(r)(E,1)/r! |
Ω |
0.28183956878254 |
Real period |
R |
2.6426120735831 |
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 |
10230c1 |
Quadratic twists by: -3 |