Atkin-Lehner |
2- 5+ 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
102700d |
Isogeny class |
Conductor |
102700 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
3866400 |
Modular degree for the optimal curve |
Δ |
-73330367500000000 = -1 · 28 · 510 · 135 · 79 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 4 13- -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17603333,28433489537] |
[a1,a2,a3,a4,a6] |
j |
-241306178422374400/29332147 |
j-invariant |
L |
4.0172648416906 |
L(r)(E,1)/r! |
Ω |
0.26781765385507 |
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 |
102700f1 |
Quadratic twists by: 5 |