Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600s |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
20643840 |
Modular degree for the optimal curve |
Δ |
4.2075105819516E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-360370425,-2632942172000] |
[a1,a2,a3,a4,a6] |
j |
7099759044484031233216/577161945398025 |
j-invariant |
L |
3.4650889054614 |
L(r)(E,1)/r! |
Ω |
0.034650889502791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
93600v1 31200bv1 18720bo1 |
Quadratic twists by: -4 -3 5 |