Atkin-Lehner |
2- 3+ 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
109200fd |
Isogeny class |
Conductor |
109200 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
737317980672000 = 212 · 3 · 53 · 75 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79528,-8506448] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:182:1] |
Generators of the group modulo torsion |
j |
108647414150813/1440074181 |
j-invariant |
L |
6.9319301020029 |
L(r)(E,1)/r! |
Ω |
0.28452301516394 |
Real period |
R |
0.60908342506509 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979325 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6825l1 109200gv1 |
Quadratic twists by: -4 5 |