Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410q |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-3921738599671200 = -1 · 25 · 33 · 52 · 7 · 1110 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 5 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-36907,-4080611] |
[a1,a2,a3,a4,a6] |
Generators |
[1024101:19171732:2197] |
Generators of the group modulo torsion |
j |
-214358881/151200 |
j-invariant |
L |
3.5747009476189 |
L(r)(E,1)/r! |
Ω |
0.16702583491148 |
Real period |
R |
10.701041996028 |
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 |
76230dq1 127050ih1 25410cg1 |
Quadratic twists by: -3 5 -11 |