Atkin-Lehner |
2- 5+ 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
71300b |
Isogeny class |
Conductor |
71300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-27628750000 = -1 · 24 · 57 · 23 · 312 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 4 4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,700,3625] |
[a1,a2,a3,a4,a6] |
Generators |
[274:4557:1] |
Generators of the group modulo torsion |
j |
151732224/110515 |
j-invariant |
L |
7.8774314981173 |
L(r)(E,1)/r! |
Ω |
0.75392158167856 |
Real period |
R |
3.4828695224026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14260e1 |
Quadratic twists by: 5 |