Atkin-Lehner |
3- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99405f |
Isogeny class |
Conductor |
99405 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7153920 |
Modular degree for the optimal curve |
Δ |
7.2134424769048E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 3 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-70597845,-228294133754] |
[a1,a2,a3,a4,a6] |
Generators |
[-3946857639326346792484590:3368834792324600682361438:814837295695043998313] |
Generators of the group modulo torsion |
j |
4952031207028849/91796875 |
j-invariant |
L |
7.0433342007166 |
L(r)(E,1)/r! |
Ω |
0.052083741687984 |
Real period |
R |
33.807739096928 |
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 |
11045c1 2115g1 |
Quadratic twists by: -3 -47 |