Atkin-Lehner |
2- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
74800dn |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-299200000000 = -1 · 212 · 58 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 2 5- -3 11- 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-179333,-29170963] |
[a1,a2,a3,a4,a6] |
Generators |
[8238247359900112:180074962479154275:10788001140736] |
Generators of the group modulo torsion |
j |
-398645432320/187 |
j-invariant |
L |
8.6219475156153 |
L(r)(E,1)/r! |
Ω |
0.1159990123563 |
Real period |
R |
24.775922198178 |
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 |
4675t1 74800ca1 |
Quadratic twists by: -4 5 |