Atkin-Lehner |
2- 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350ee |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-84700687500000 = -1 · 25 · 36 · 59 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 11- 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-210605,-37150603] |
[a1,a2,a3,a4,a6] |
j |
-90694355177089/7436000 |
j-invariant |
L |
2.2285911880744 |
L(r)(E,1)/r! |
Ω |
0.11142955967559 |
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 |
7150b1 12870y1 |
Quadratic twists by: -3 5 |