Atkin-Lehner |
5- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
10925j |
Isogeny class |
Conductor |
10925 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
74400 |
Modular degree for the optimal curve |
Δ |
-58841204166015625 = -1 · 59 · 195 · 233 |
Discriminant |
Eigenvalues |
-1 0 5- -4 -1 1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48805,12398822] |
[a1,a2,a3,a4,a6] |
Generators |
[260:-4282:1] [-6:3565:1] |
Generators of the group modulo torsion |
j |
-6582309243021/30126696533 |
j-invariant |
L |
3.7282806034922 |
L(r)(E,1)/r! |
Ω |
0.30568284095814 |
Real period |
R |
0.40655216278053 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
98325cl1 10925i1 |
Quadratic twists by: -3 5 |