Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
111600eh |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
9584640 |
Modular degree for the optimal curve |
Δ |
-2.1838942332518E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49131075,132741405250] |
[a1,a2,a3,a4,a6] |
Generators |
[7513610:-150869250:2197] |
Generators of the group modulo torsion |
j |
-281115640967896441/468084326400 |
j-invariant |
L |
9.1454156400525 |
L(r)(E,1)/r! |
Ω |
0.12075720476481 |
Real period |
R |
9.4667391299547 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999950628 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13950bd1 37200cx1 22320bl1 |
Quadratic twists by: -4 -3 5 |