Atkin-Lehner |
2- 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
109520o |
Isogeny class |
Conductor |
109520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8951040 |
Modular degree for the optimal curve |
Δ |
6.6540410775079E+21 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -4 -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52223243,-145206245958] |
[a1,a2,a3,a4,a6] |
Generators |
[-68374822174407767042995:-89877796017081846866512:16223963292707703625] |
Generators of the group modulo torsion |
j |
29589645357/12500 |
j-invariant |
L |
3.9211765370286 |
L(r)(E,1)/r! |
Ω |
0.056162263939736 |
Real period |
R |
34.909352292487 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056607 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13690i1 109520bc1 |
Quadratic twists by: -4 37 |