Atkin-Lehner |
2- 3+ 5- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
125400cc |
Isogeny class |
Conductor |
125400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
798336 |
Modular degree for the optimal curve |
Δ |
-133655640030000 = -1 · 24 · 311 · 54 · 11 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-303583,-64283288] |
[a1,a2,a3,a4,a6] |
Generators |
[86071753116443375301:9705694837930314581273:6755663636195921] |
Generators of the group modulo torsion |
j |
-309426487724800000/13365564003 |
j-invariant |
L |
6.7993289764492 |
L(r)(E,1)/r! |
Ω |
0.10169484815617 |
Real period |
R |
33.43005619128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125400bb1 |
Quadratic twists by: 5 |