Atkin-Lehner |
3+ 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
125235g |
Isogeny class |
Conductor |
125235 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-1512691648875 = -1 · 33 · 53 · 117 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5- 0 11- -5 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1452,-62890] |
[a1,a2,a3,a4,a6] |
Generators |
[198:2722:1] |
Generators of the group modulo torsion |
j |
-7077888/31625 |
j-invariant |
L |
5.9021632268066 |
L(r)(E,1)/r! |
Ω |
0.35102869580235 |
Real period |
R |
1.4011587591455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000075884 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
125235c1 11385d1 |
Quadratic twists by: -3 -11 |