Atkin-Lehner |
2+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418d |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
302400 |
Modular degree for the optimal curve |
Δ |
7137746513462488 = 23 · 78 · 115 · 312 |
Discriminant |
Eigenvalues |
2+ 1 4 7+ 11- 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65049,-4930236] |
[a1,a2,a3,a4,a6] |
j |
5280215750089/1238160088 |
j-invariant |
L |
3.0400875786857 |
L(r)(E,1)/r! |
Ω |
0.30400875786939 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33418s1 |
Quadratic twists by: -7 |