Atkin-Lehner |
2+ 3- 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
94350r |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-16239993750000 = -1 · 24 · 35 · 58 · 172 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 2 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1849,-191302] |
[a1,a2,a3,a4,a6] |
Generators |
[72:526:1] |
Generators of the group modulo torsion |
j |
44776693151/1039359600 |
j-invariant |
L |
6.8216893242128 |
L(r)(E,1)/r! |
Ω |
0.33744092450402 |
Real period |
R |
1.0107975710438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999809781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18870p1 |
Quadratic twists by: 5 |