Atkin-Lehner |
2+ 3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
117438f |
Isogeny class |
Conductor |
117438 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2782080 |
Modular degree for the optimal curve |
Δ |
3275619457800486912 = 214 · 3 · 239 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-547261,128997949] |
[a1,a2,a3,a4,a6] |
Generators |
[-13280211:-3135577922:250047] |
Generators of the group modulo torsion |
j |
10063705679/1818624 |
j-invariant |
L |
3.5836478459974 |
L(r)(E,1)/r! |
Ω |
0.23943030502681 |
Real period |
R |
14.967394653438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999404745 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117438a1 |
Quadratic twists by: -23 |