Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
50820b |
Isogeny class |
Conductor |
50820 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
-11319121716376320 = -1 · 28 · 33 · 5 · 75 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- -2 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-694701,-222693975] |
[a1,a2,a3,a4,a6] |
Generators |
[116935896614056888:7340034971255146039:28364253573473] |
Generators of the group modulo torsion |
j |
-81756451446784/24958395 |
j-invariant |
L |
4.413155631461 |
L(r)(E,1)/r! |
Ω |
0.082682209301428 |
Real period |
R |
26.68745591553 |
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 |
4620c1 |
Quadratic twists by: -11 |