Atkin-Lehner |
3+ 5- 31+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28365c |
Isogeny class |
Conductor |
28365 |
Conductor |
∏ cp |
23 |
Product of Tamagawa factors cp |
deg |
7594048 |
Modular degree for the optimal curve |
Δ |
6.7627429962158E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5- -1 4 3 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-265388080,-1663976286672] |
[a1,a2,a3,a4,a6] |
j |
2067130767758752726326679638016/67627429962158203125 |
j-invariant |
L |
0.86031409509761 |
L(r)(E,1)/r! |
Ω |
0.037404960656326 |
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 |
85095j1 |
Quadratic twists by: -3 |