Atkin-Lehner |
3+ 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
30855d |
Isogeny class |
Conductor |
30855 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
122069100681825 = 3 · 52 · 117 · 174 |
Discriminant |
Eigenvalues |
-1 3+ 5+ -4 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13736,-324136] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:508:1] |
Generators of the group modulo torsion |
j |
161789533849/68904825 |
j-invariant |
L |
1.6220794337245 |
L(r)(E,1)/r! |
Ω |
0.45821288893907 |
Real period |
R |
1.7700063364436 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
92565br1 2805b1 |
Quadratic twists by: -3 -11 |