Atkin-Lehner |
2+ 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240ej |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
41287680 |
Modular degree for the optimal curve |
Δ |
-3.043963367424E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,30097055,837017918975] |
[a1,a2,a3,a4,a6] |
j |
11501534367688741509671/1161179873437500000000 |
j-invariant |
L |
3.5120991700418 |
L(r)(E,1)/r! |
Ω |
0.041810702318546 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240hx1 3570b1 |
Quadratic twists by: -4 8 |