Atkin-Lehner |
2+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
94178i |
Isogeny class |
Conductor |
94178 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
-2220466434755896754 = -1 · 2 · 79 · 317 |
Discriminant |
Eigenvalues |
2+ 3 3 7- -6 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-762253,-265804897] |
[a1,a2,a3,a4,a6] |
Generators |
[162305987520323069283135:6599984538412031042424847:76739347061504665875] |
Generators of the group modulo torsion |
j |
-1367631/62 |
j-invariant |
L |
11.434352911342 |
L(r)(E,1)/r! |
Ω |
0.08057419203527 |
Real period |
R |
35.477715080088 |
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 |
94178j1 3038e1 |
Quadratic twists by: -7 -31 |