Atkin-Lehner |
2+ 3+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
7854c |
Isogeny class |
Conductor |
7854 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
51840 |
Modular degree for the optimal curve |
Δ |
3460710992707584 = 218 · 35 · 74 · 113 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11- 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-106186,12969940] |
[a1,a2,a3,a4,a6] |
Generators |
[-348:2990:1] |
Generators of the group modulo torsion |
j |
132413384610108715177/3460710992707584 |
j-invariant |
L |
2.1092947418307 |
L(r)(E,1)/r! |
Ω |
0.44404158145261 |
Real period |
R |
1.5834063219414 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
62832bw1 23562z1 54978bb1 86394cd1 |
Quadratic twists by: -4 -3 -7 -11 |