Atkin-Lehner |
2+ 3+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98394n |
Isogeny class |
Conductor |
98394 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
-4.5447892023148E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 5 3 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2899724,-3760530096] |
[a1,a2,a3,a4,a6] |
Generators |
[72846153796990002822833:23796818272422827997167563:680373716938736183] |
Generators of the group modulo torsion |
j |
-18214905367183897/30700590465024 |
j-invariant |
L |
3.9194430154776 |
L(r)(E,1)/r! |
Ω |
0.054694313219042 |
Real period |
R |
35.830443649423 |
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 |
4278c1 |
Quadratic twists by: -23 |