Atkin-Lehner |
3+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
30345o |
Isogeny class |
Conductor |
30345 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
215424 |
Modular degree for the optimal curve |
Δ |
138433906416645 = 34 · 5 · 72 · 178 |
Discriminant |
Eigenvalues |
-2 3+ 5- 7+ -3 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-76970,8225408] |
[a1,a2,a3,a4,a6] |
Generators |
[482:9103:1] |
Generators of the group modulo torsion |
j |
7229403136/19845 |
j-invariant |
L |
1.7906739936452 |
L(r)(E,1)/r! |
Ω |
0.58417765200442 |
Real period |
R |
0.2554408445646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91035s1 30345z1 |
Quadratic twists by: -3 17 |