Atkin-Lehner |
3+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
30603c |
Isogeny class |
Conductor |
30603 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
326400 |
Modular degree for the optimal curve |
Δ |
8684296352066781 = 34 · 1017 |
Discriminant |
Eigenvalues |
2 3+ -1 2 6 1 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-64606,4476633] |
[a1,a2,a3,a4,a6] |
Generators |
[-140152:642407:512] |
Generators of the group modulo torsion |
j |
28094464/8181 |
j-invariant |
L |
10.182560281683 |
L(r)(E,1)/r! |
Ω |
0.38333221648283 |
Real period |
R |
3.3204097659434 |
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 |
91809f1 303b1 |
Quadratic twists by: -3 101 |