Atkin-Lehner |
2- 3+ 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
25230s |
Isogeny class |
Conductor |
25230 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
50871955220398080 = 216 · 32 · 5 · 297 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-94630,-2828893] |
[a1,a2,a3,a4,a6] |
Generators |
[-2130:16199:8] |
Generators of the group modulo torsion |
j |
157551496201/85524480 |
j-invariant |
L |
7.3092972974176 |
L(r)(E,1)/r! |
Ω |
0.29028072804487 |
Real period |
R |
3.1475123006994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
75690d1 126150v1 870d1 |
Quadratic twists by: -3 5 29 |