Atkin-Lehner |
2- 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85100d |
Isogeny class |
Conductor |
85100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
733536 |
Modular degree for the optimal curve |
Δ |
199790036597139200 = 28 · 52 · 233 · 376 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 -3 1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-230548,36859512] |
[a1,a2,a3,a4,a6] |
Generators |
[5882289:188733078:4913] |
Generators of the group modulo torsion |
j |
211753062030823120/31217193218303 |
j-invariant |
L |
9.7100715045256 |
L(r)(E,1)/r! |
Ω |
0.30467252342315 |
Real period |
R |
5.3117532011463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948098 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85100i1 |
Quadratic twists by: 5 |