Atkin-Lehner |
2- 3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
115632r |
Isogeny class |
Conductor |
115632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
64739119104 = 212 · 39 · 11 · 73 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 2 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7371,-243270] |
[a1,a2,a3,a4,a6] |
Generators |
[118:728:1] |
Generators of the group modulo torsion |
j |
549353259/803 |
j-invariant |
L |
5.2779719691817 |
L(r)(E,1)/r! |
Ω |
0.51529517526064 |
Real period |
R |
5.1213092907475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000060823 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7227a1 115632l1 |
Quadratic twists by: -4 -3 |