Atkin-Lehner |
2- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800ba |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
-427601790029004800 = -1 · 236 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 3 11+ -3 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-270688,62584948] |
[a1,a2,a3,a4,a6] |
j |
-21420636414894985/4175798730752 |
j-invariant |
L |
1.1435698952649 |
L(r)(E,1)/r! |
Ω |
0.28589248708184 |
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 |
9350bb1 74800cu1 |
Quadratic twists by: -4 5 |