Atkin-Lehner |
7- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30821a |
Isogeny class |
Conductor |
30821 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
136080 |
Modular degree for the optimal curve |
Δ |
1722230416333 = 76 · 172 · 373 |
Discriminant |
Eigenvalues |
2 -3 2 7- -3 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-10339,-399681] |
[a1,a2,a3,a4,a6] |
j |
1038893617152/14638717 |
j-invariant |
L |
0.94772078683737 |
L(r)(E,1)/r! |
Ω |
0.47386039342074 |
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 |
629b1 |
Quadratic twists by: -7 |