Atkin-Lehner |
2+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ft |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-6023628800000000 = -1 · 217 · 58 · 76 |
Discriminant |
Eigenvalues |
2+ -3 5- 7- -1 4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24500,3430000] |
[a1,a2,a3,a4,a6] |
Generators |
[-56:1372:1] |
Generators of the group modulo torsion |
j |
270 |
j-invariant |
L |
3.4104281961947 |
L(r)(E,1)/r! |
Ω |
0.30229850618482 |
Real period |
R |
2.8204143648701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999996789 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400lc1 9800v1 78400dd1 1600n1 |
Quadratic twists by: -4 8 5 -7 |