Atkin-Lehner |
2+ 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
70070g |
Isogeny class |
Conductor |
70070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2764800 |
Modular degree for the optimal curve |
Δ |
272154309589662500 = 22 · 55 · 712 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5029239,4340625062] |
[a1,a2,a3,a4,a6] |
Generators |
[-1102:92989:1] |
Generators of the group modulo torsion |
j |
119575490767273459801/2313273462500 |
j-invariant |
L |
2.0927293338242 |
L(r)(E,1)/r! |
Ω |
0.28497494463876 |
Real period |
R |
1.8358888849321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002095 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10010g1 |
Quadratic twists by: -7 |